| (1881) | Newcomb, S. Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4(1), 39-40. |
 |
|
|
|
| (1912) | Poincaré, H. Répartition des décimales dans une table numérique. pp 313-320 in: Calcul des Probabilités, Gauthier-Villars, Paris. |
 |
|
|
|
| (1916) | Weyl, H. Über die Gleichverteilung von Zahlen mod Eins. Mathematische Annalen 77, 313-352. |
 |
|
|
|
| (1917) | Franel, J. A propos des tables de logarithmes. Festschrift der Naturforschenden Gesellschaft in Zürich, Vierteljahrsschrift 62, 286-295. |
 |
|
|
|
| (1920) | Boring, EG. The logic of the normal law of error in mental measurement. American Journal of Psychology 31, 1-33. ISSN:0002-9556. |
 |
|
|
|
| (1938) | Benford, F. The law of anomalous numbers. Proceedings of the American Philosophical Society 78, 551-572. |
 |
|
|
|
| (1939) | Lévy, P. L'addition des variables aléatoires définies sur une circonférence. Bull. Soc. Math. France 67, 1-41. |
 |
|
|
|
| (1944) | Goudsmit, SA and Furry, WH. Significant figures of numbers in statistical tables. Nature 154(3921), 800-801. ISSN:0028-0836. |
 |
|
|
|
| (1945) | Furry, WH and Hurwitz, H. Distribution of numbers and distribution of significant figures. Nature 155(3924), 52-53. |
 |
|
|
|
| (1946) | Furlan, LV. Das Harmoniegesetz der Statistik: Eine Untersuchung ueber die metrische Interdependenz der sozialen Erscheinungen. Basel, Verlag fuer Recht und Gesellschaft AG, xiii:504p. |
 |
|
|
|
| (1948) | Geiringer, H. Review of L.V. Furlan’s book. Journal of the American Statistical Association 43, 325-328. |
 |
|
|
|
| (1948) | Hsü, EH. An Experimental Study on "Mental Numbers" and a New Application. The Journal of General Psychology 38, 57-67. |
 |
|
|
|
| (1950) | Moser, L and Macon, N. On the distribution of first digits of powers. Scripta Mathematica 16, 290-292. |
 |
|
|
|
| (1952) | Tsuji, M. On the uniform distribution of numbers mod 1. Journal of the Mathematical Society of Japan 4(3/4), 313-322. |
 |
|
|
|
| (1956) | Herzel, A. Sulla distribuzione delle cifre iniziali die numeri statistici. Atti XV e XVI Riunione sci., Roma 1956, 205-228. |
 |
|
|
|
| (1956) | Wallis, WA and Roberts, HV. First digits of statistical tables. Example 331, pp 331-332 in: Statistics: A New Approach, The Free Press of Glencoe, Illinois, USA. |
 |
|
|
|
| (1957) | Gini, C. Sulla frequenza delle cifre iniziali dei numeri osservati. Bull. Inst. Internat. Stat., 29th session, 35(2), 57-76. |
 |
|
|
|
| (1961) | Cigler, J and Helmberg, G. Neuere Entwicklungen der Theorie der Gleichverteilung. Jahresbericht der Deutschen Mathematiker Vereinigung 64, 1-50. |
 |
|
|
|
| (1961) | Pinkham, RS. On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(4), 1223-1230. ISSN:0003-4851. |
 |
|
|
|
| (1961) | Wouk, A. On digit distributions of random variables. J. Soc. Indust. Appl. Math. 9(4), 597-603. |
 |
|
|
|
| (1963) | Weaver, W. The distribution of first significant digits. pp 270-277 in: Lady Luck: The Theory of Probability, Doubleday Anchor Series, New York. Republished by Dover, 1982. |
 |
|
|
|
| (1964) | Cigler, J. Methods of summability and uniform distribution mod 1. Compositio Mathematica 16, 44-51. |
 |
|
|
|
| (1965) | Good, IJ. Letter to the Editor. The American Statistician 19(3), 43. |
 |
|
|
|
| (1965) | Konheim, AG. Mantissa distribution. Mathematics of Computation 19, 143-144. |
 |
|
|
|
| (1966) | Flehinger, BJ. On the Probability that a Random Integer has Initial Digit A. American Mathematical Monthly 73(10), 1056-1061. ISSN:0002-9890. |
 |
|
|
|
| (1967) | Duncan, RL. An application of uniform distributions to the Fibonacci numbers. Fibonacci Quarterly 5, 137-140. |
 |
|
|
|
| (1968) | Adhikari, AK and Sarkar, BP. Distributions of most significant digit in certain functions whose arguments are random variables. Sankhya-The Indian Journal of Statistics Series B, no. 30, 47-58. |
 |
|
|
|
| (1968) | Shenton, LR. Periodicity and density of modified Fibonacci sequences. Fibonacci Quarterly 6(2), 109-116. |
 |
|
|
|
| (1969) | Adhikari, AK. Some Results on Distribution of Most Significant Digit. Sankhya-The Indian Journal of Statistics Series B, 31 (Dec), 413-420. ISSN:0581-5738. |
 |
|
|
|
| (1969) | Bumby, R and Ellentuck, E. Finitely additive measures and the first digit problem. Fundamenta Mathematicae 65, 33-42. |
 |
|
|
|
| (1969) | Duncan, RL. Note on the initial digit problem. Fibonacci Quarterly 7(5), 474-475. |
 |
|
|
|
| (1969) | Fairthorne, RA. Progress in Documentation - Empirical Hyperbolic Distributions (Bradford-Zipf-Mandelbrot) for Bibliometric Description and Prediction. Journal of Documentation 25(4), 319-343; reprinted 2005 in Journal of Documentation 61(2), 171-193. ISSN:0022-0418. |
 |
|
|
|
| (1969) | Kuipers, L. Remark on a paper by R.L. Duncan concerning the uniform distribution mod 1 of the sequence of the logarithms of the Fibonacci numbers. Fibonacci Quarterly 7, 465-466, 473. |
 |
|
|
|
| (1969) | Raimi, RA. The Peculiar Distribution of First Digits. Scientific American 221(6), 109-119. ISSN:0036-8733. |
 |
|
|
|
| (1969) | Raimi, RA. On Distribution of First Significant Figures. American Mathematical Monthly 76(4), 342-348. ISSN:0002-9890. |
 |
|
|
|
| (1970) | Brown, JR and Duncan, RL. Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences. Fibonacci Quarterly 8, 482-486. ISSN:0015-0517. |
 |
|
|
|
| (1970) | Hamming, R. On the distribution of numbers. Bell Syst. Tech. J. 49(8), 1609-1625. |
 |
|
|
|
| (1971) | Feller, W. An Introduction to Probability Theory and Its Applications. p 63, vol 2, 2nd ed. J. Wiley. |
 |
|
|
|
| (1971) | Thorp, E and Whitley, R. Poincaré's conjecture and the distribution of digits in logarithm tables. Compositio Mathematica 23(2), 233-250. |
 |
|
|
|
| (1971) | Wlodarski, J. Fibonacci and Lucas Numbers tend to obey Benford’s law. Fibonacci Quarterly 9, 87-88. |
 |
|
|
|
| (1972) | Mardia, KV. The distribution of first significant digits. pp 92-93 in: Statistics of Directional Data, Academic Press. |
 |
|
|
|
| (1972) | Varian, HR. Benford’s law. The American Statistician 26(3), 65-66. |
 |
|
|
|
| (1972) | Whitney, RE. Initial digits for the sequence of primes. American Mathematical Monthly 79(2), 150-152. |
 |
|
|
|
| (1973) | Kreifelts, T. Optimal Choice of Basis for a Floating-Point Arithmetic [Optimale Wahl für eine Gleitkomma-Arithmetik] . Computing 11(4), 353-363. ISSN:0010-485X. |
 |
|
|
|
| (1973) | Kuipers, L and Shiue, JS. Remark on a paper by Duncan and Brown on the sequence of logarithms of certain recursive sequences. Fibonacci Quarterly 11(3), 292-294. |
 |
|
|
|
| (1973) | Niederreiter, H and Philipp, W. Berry-Esseen bounds and a theorem of Erdős and Turàn on uniform distribution mod 1. Duke Mathematical Journal 40(3), 633-649. |
 |
|
|
|
| (1973) | Sarkar, BP. An Observation on the Significant Digits of Binomial Coefficients and Factorials. Sankhya - The Indian Journal of Statistics Series B 35(3), 363-364. ISSN:0581-5738. |
 |
|
|
|
| (1973) | Schatte, P. Zur Verteilung der Mantisse in der Gleitkommadarstellung einer Zufallsgröße (Distribution of Mantissa in Floating Point Diagram of Random Variable). Zeitschrift fur Angewandte Mathematik und Mechanik 53(8), 553-565. ISSN:0044-2267. |
 |
|
|
|
| (1973) | Sentance, WA. A further analysis of Benford’s law. Fibonacci Quarterly 11, 490-494. |
 |
|
|
|
| (1974) | Banks, WP and Hill, DK. The Apparent Magnitude of Number Scaled by Random Production. Journal of Experimental Psychology 102 (2), 353-376. ISSN:0022-1015. |
 |
|
|
|
| (1974) | Duran, JP. Almost convergence, summability and ergodicity. Canadian Journal of Mathematics 26(2), 372-387. |
 |
|
|
|
| (1974) | Kuipers, L and Niederreiter, H. Uniform Distribution of Sequences. J. Wiley. |
 |
|
|
|
| (1974) | Tsao, NK. On the Distributions of Significant Digits and Roundoff Errors. Communications of the ACM 17(5), 269-271. ISSN:0001-0782. |
 |
|
|
|
| (1975) | Baird, JC. Psychophysical study of numbers: V. Preferred State Theory of Matching Functions. Psychological Research 38 (Jun), 189-207. |
 |
|
|
|
| (1975) | Baird, JC. Psychophysical study of numbers: IV. Generalized Preferred State Theory. Psychological Research 38 (Jun), 175-187. |
 |
|
|
|
| (1975) | Baird, JC and Noma, E. Psychophysical study of numbers: I. Generation of numerical responses. Psychological Research 37 (Dec), 281-297. |
 |
|
|
|
| (1975) | Noma, E and Baird, JC. Psychophysical study of numbers: II. Theoretical models of number generation. Psychological Research 38 (1), 81-95. |
 |
|
|
|
| (1975) | Webb, W. Distribution of the first digits of Fibonacci numbers. Fibonacci Quarterly 13, 334-336. |
 |
|
|
|
| (1975) | Weissmann, SM, Hollingsworth, SR and Baird, JC. Psychophysical studies of numbers: III. Methodological applications. Psychological Research 38(1), 97-115. |
 |
|
|
|
| (1976) | Cohen, DIA. An Explanation of the First Digit Phenomenon. Journal of Combinatorial Theory Series A 20(3), 367-370. ISSN:0097-3165. |
 |
|
|
|
| (1976) | Davis, B. Some Remarks on Initial Digits. Fibonacci Quarterly 14(1), 13-14. ISSN:0015-0517. |
 |
|
|
|
| (1976) | Feldstein, A and Goodman, R. Convergence Estimates for Distribution of Trailing Digits. Journal of the Association for Computing Machinery, 23(2), 287-297. ISSN:0004-5411. |
 |
|
|
|
| (1976) | Raimi, RA. The First Digit Problem. American Mathematical Monthly 83(7), 521-538. ISSN:0002-9890. |
 |
|
|
|
| (1977) | Diaconis, P. The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), 72-81. ISSN:0091-1798. |
 |
|
|
|
| (1977) | Goudsmit, SA. Pitfalls in Elementary Probability. Proceedings of the American Philosophical Society 121(2), 188-189. ISSN:0003-049X. |
 |
|
|
|
| (1977) | Rosenkrantz, RD. Benford's Law. Example 3.6.6, pp 67-68 in: Inference, Method and Decision: Towards a Bayesian Philosophy of Science, Reidel Publishing Company, USA. |
 |
|
|
|
| (1977) | Ylvisaker, D. Test Resistance. Journal of the American Statistical Association 72(359), 551-556. ISSN:0162-1459. |
 |
|
|
|
| (1978) | Brady, WG. More on Benford’s law. Fibonacci Quarterly 16, 51-52. |
 |
|
|
|
| (1978) | Logan, JL and Goudsmit, SA. The First Digit Phenomenon. Proceedings of the American Philosophical Society 122(4), 193-197. ISSN:0003-049X. |
 |
|
|
|
| (1978) | Stigler, SM. Mathematical Statistics in the Early States. Annals of Statistics 6(2), 239-265. ISSN:0090-5364. |
 |
|
|
|
| (1979) | Bustoz, J, Feldstein, A, Goodman, R and Linnainmaa, S. Improved Trailing Digits Estimates Applied to Optimal
Computer Arithmetic. Journal of the Association for Computing Machinery 26(4), 716-730. ISSN:0004-5411. |
 |
|
|
|
| (1979) | Diaconis, P and Freedman, D. On Rounding Percentages. Journal of the American Statistical Association 74(366), 359-364. ISSN:0162-1459. |
 |
|
|
|
| (1979) | Hafner, EM. Circular slide roulette. IEEE Communications Magazine 17(2), 29-32. |
 |
|
|
|
| (1980) | Matula, VV and Kornerup, P. Foundations of Finite Precision Rational Arithmetic. pp 85-111 in: Alefeld, G, Grigorieff, RD (eds.) Fundamentals of Numerical Computation (Computer-Oriented Numerical Analysis), Computing Supplementum 2, Springer, Wien-New York. |
 |
|
|
|
| (1981) | Hubert, JJ. General Bibliometric Models. Library Trends 30(1), 65-81. ISSN:0024-2594. |
 |
|
|
|
| (1981) | Kennard, R and Reith, J. On the distribution of first digits. Communications in Statistics. Simulation and computation 10(1), 97-98. |
 |
|
|
|
| (1981) | Knopfmacher, J. Initial digits in number theory. Fibonacci Quarterly 19(2), 121-126. |
 |
|
|
|
| (1981) | Peters, JV. An equivalent form of Benford's law. Fibonacci Quarterly 19(1), 74-76. ISSN:0015-0517. |
 |
|
|
|
| (1981) | Peters, JV. A combinatoric proof of Benford's law. Aequationes Mathematicae 23(1), 122-123. |
 |
|
|
|
| (1981) | Schatte, P. On random variables with logarithmic mantissa distribution relative to several bases. Elektronische Informationsverarbeitung und Kybernetik 17(4/6), 293-295. |
 |
|
|
|
| (1981) | Scozzafava, R. Un esempio concreto di probabilita non σ-additiva: la distribuzione della prima cifra significativa dei dati statistici. Boll. Un. Mat. Ital. A(5) 18(3), 403-410. |
 |
|
|
|
| (1981) | Scozzafava, R. Non conglomerability and the First Digit Problem. Statistica 41(4), 561-565. |
 |
|
|
|
| (1981) | Washington, LC. Benford’s law for Fibonacci and Lucas numbers. Fibonacci Quarterly 19, 175-177. |
 |
|
|
|
| (1982) | Becker, PW. Patterns in Listings of Failure-Rate and MTTF Values and Listings of Other Data. IEEE Transactions on Reliability 31(2), 132-134. ISSN:0018-9529. |
 |
|
|
|
| (1982) | Olver, FWJ. Further Developments of Rp and Ap Error Analysis. IMA Journal of Numerical Analysis 2(3), 249-274. ISSN:0272-4979. |
 |
|
|
|
| (1982) | Pavlov, AI. On the distribution of fractional parts and Benford’s law. Math. USSR Izvestija 19(1), 65-77. English translation of: Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45(4), 760–774. |
 |
|
|
|
| (1982) | Regazzini, E. La legge di Benford-Furlan come legge statistica (The Benford-Furlan law as a statistical law). Statistica 42(3), 351-370. |
 |
|
|
|
| (1982) | Turner, PR. The Distribution of Leading Significant Digits. IMA Journal orf Numerical Analysis 2(4), 407-412. ISSN:0272-4979. |
 |
|
|
|
| (1983) | Haber, S. Parameters for Integrating Periodic Functions of Several Variables. Mathematics of Computation 41(163), 115-129. ISSN:0025-5718. |
 |
|
|
|
| (1983) | Iyengar, SS, Rajagopal, AK and Uppuluri, VRR. String Patterns of Leading Digits. Applied Mathematics and Computation 12(4), 321-337. ISSN:0096-3003. |
 |
|
|
|
| (1983) | Kak, SC. Strings of first digits of powers of a number. Indian J. Pure Appl. Math. 14(7), 896-907. |
 |
|
|
|
| (1983) | Robertson, JB, Uppuluri, VRR and Rajagopal, AK. First digit phenomenon and ergodic theory. Journal of Mathematical Analysis and Applications 95(2), 375-378. |
 |
|
|
|
| (1983) | Schatte, P. On sums modulo 2π of independent random variables. Math. Nachr. 110, 243-262. |
 |
|
|
|
| (1983) | Schatte, P. On H∞ -summability and the uniform distribution of sequences. Math. Nachr. 113, 237-243. |
 |
|
|
|
| (1983) | Whittaker, JV. On scale-invariant distributions. SIAM Journal on Applied Mathematics 43(2), 257-267. |
 |
|
|
|
| (1984) | Cohen, DIA and Katz, TM. Prime Numbers and the First Digit Phenomenon. Journal of Number Theory 18(3), 261-268. ISSN:0022-314X. |
 |
|
|
|
| (1984) | Friedberg, SH. The Distribution of First Digits. College Mathematics Journal 15(2), 120-125. ISSN:0049-4925. |
 |
|
|
|
| (1984) | Fuchs, A and Letta, G. Sur le problème du premier chiffre décimal. Boll. Unione Mat. Ital., VI. Ser., B 3, 451-461. |
 |
|
|
|
| (1984) | McLaughlin, WI and Lundy, SA. Digit functions of integer sequences. Fibonacci Quarterly 22(2), 105-115. ISSN:0015-0517. |
 |
|
|
|
| (1984) | Nagasaka, K. On Benford's Law. Annals of the Institute of Statistical Mathematics 36(2), 337-352. ISSN:0020-3157. |
 |
|
|
|
| (1984) | Nelson, LS. Display Tables and Significant Digits. Journal of Quality Technology 16(3), 175-176. ISSN:0022-4065. |
 |
|
|
|
| (1984) | Rajagopal, AK, Uppuluri, VRR, Scott, DS, Iyengar, SS and Yellayi, M. New structural properties of strings generated by leading digits of 2N. Applied Mathematics and Computation 14(3), 221-244. |
 |
|
|
|
| (1984) | Schatte, P. On the asymptotic uniform distribution of sums reduced mod 1. Math. Nachr. 115, 275-281. |
 |
|
|
|
| (1984) | Schmidt, R and Lacher, R. Probabilistic repeatability among some irrationals. College Mathematics Journal 15(4), 330-332. |
 |
|
|
|
| (1984) | Sheynin, OB. On the History of the Statistical Method in Astronomy. Archive for History of Exact Sciences 29(2), 151-199. ISSN:0003-9519. |
 |
|
|
|
| (1984) | Turner, PR. Further Revelations on LSD. IMA Journal of Numerical Analysis 4(2), 225-231. ISSN:0272-4979. |
 |
|
|
|
| (1985) | Barlow, JL and Bareiss, EH. On Roundoff Error Distributions in Floating Point and Logarithmic Arithmetic. Computing 34(4), 325-347. ISSN:0010-485X. |
 |
|
|
|
| (1985) | Fuchs, A and Nanopoulos, P. Mesures invariantes par translation, classes de Dynkin first-digit problem. Advances in Mathematics 55, 24-74. |
 |
|
|
|
| (1985) | Goodman, RH, Feldstein, A and Bustoz, J. Relative Error in Floating-Point Multiplication. Computing 35, 127-139. ISSN:1436-5057. |
 |
|
|
|
| (1985) | Goto, K and Kano, T. Uniform distribution of some special sequences. Proc. Japan Acad. Ser. A Math. Sci. 61(3), 83-86. |
 |
|
|
|
| (1985) | Raimi, RA. The First Digit Phenomenon Again. Proceedings of the American Philosophical Society 129(2), 211-219. ISSN:0003-049X. |
 |
|
|
|
| (1985) | Tichy, RF. Uniform distribution and diophantine inequalities. Monatsh. Math. 99(2), 147-152. |
 |
|
|
|
| (1985) | Uppuluri, VRR and Patil, SA. The distribution of the first j digits of beta related random variables. Communications in Statistics - Simulation and Computation 14(2), 467-472. |
 |
|
|
|
| (1986) | Feldstein, A and Turner, P. Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction. IMA Journal of Numerical Analysis 6, 241-251. |
 |
|
|
|
| (1986) | Gilio, A. An application of the pseudodensity concept to the first digit problem significant for statistical data. Rend. Mat. Appl., VII. Ser. 6 (1-2), 215-224. |
 |
|
|
|
| (1986) | Good, IJ. Some statistical applications of Poisson’s work. Statistical Science 1(2), 157-170. |
 |
|
|
|
| (1986) | Hoare, GTQ and Wright, EE. The distribution of first significant digits. Math. Gazette 70(451), 34-37. |
 |
|
|
|
| (1986) | Holzer, S and Sempi, C. A remark on metrics for finitely additive distribution functions. Stochastica 10(2), 191-194. |
 |
|
|
|
| (1986) | Katz, TM and Cohen, DIA. The first digit property for exponential sequences is independent of the underlying distribution. Fibonacci Quarterly 24(1), 2-7. |
 |
|
|
|
| (1986) | Lemons, DS. On the Numbers of Things and the Distribution of first Digits. American Journal of Physics 54(9): 816-817. ISSN:0002-9505. |
 |
|
|
|
| (1986) | Nagasaka, K and Shiue, JS. Benford’s law for linear recurrence sequences. pp 33-54 in: Transcendental numbers and related topics. Proceedings of the Symposium in Kyoto, April 23-25, 1986, by Research Institute for Mathematical Sciences. Kyoto: Kyoto University. |
 |
|
|
|
| (1986) | Patil, SA and Uppuluri, VRR. The distribution of first j digits. College Mathematical Journal 17(3), 240-243. |
 |
|
|
|
| (1986) | Schatte, P. On the Asymptotic Logarithmic Distribution of the Floating-Point Mantissas of Sums. Math. Nachr. 127, 7-20. ISSN:0025-584X. |
 |
|
|
|
| (1987) | Kunoff, S. N! has the first digit property. Fibonacci Quarterly 25, 365-367. |
 |
|
|
|
| (1987) | Nagasaka, K and Shiue, JS. Benford's law for linear recurrence sequences. Tsukuba Journal of Mathematics 11(2), 341-351. |
 |
|
|
|
| (1987) | Schatte, P. On the Asymptotic Behaviour of the Mantissa Distributions of Sums. Journal of Information Processing and Cybernetics EIK 23(7), 353-360. |
 |
|
|
|
| (1987) | Schatte, P. Some estimates of the H∞ -uniform distribution. Monatshefte für Mathematik 103, 233-240. |
 |
|
|
|
| (1987) | Scheidt, JK and Schelin, CW. Distributions of floating point numbers. Computing 38(4), 315-324. ISSN:0010-485X. |
 |
|
|
|
| (1987) | Tichy, RF. Gleichverteilung zum Summierungsverfahren H∞. Math. Nachr. 131(1), 119-125. |
 |
|
|
|
| (1987) | Tichy, RF. Statistische Resultate über computergerechte Darstellungen von Zahlen. Anz. Österreich. Akad. Wiss. Math.-Natur. Kl. 124, 1-8. |
 |
|
|
|
| (1987) | Turner, PR. The distribution of l.s.d. and its implications for computer design. The Mathematical Gazette 71 (March), 26-31. |
 |
|
|
|
| (1988) | Carslaw, CAPN. Anomalies in Income Numbers: Evidence of Goal Oriented Behavior. The Accounting Review 63, No. 2, 321-327. |
 |
|
|
|
| (1988) | Hill, TP. Random-Number Guessing and the First Digit Phenomenon. Psychological Reports 62(3): 967-971. ISSN:0033-2941. |
 |
|
|
|
| (1988) | Jager, H and Liardet, P. Distribution arithmétiques des dénominateurs de convergents de fractions continues. Nederl. Akad. Wetensch. Indag. Math. 50(2), 181-197. |
 |
|
|
|
| (1988) | Kanemitsu, S, Nagasaka, K, Rauzy, G and Shiue, JS. On Benford’s law: the first digit problem. Lecture Notes in Mathematics 1299, 158-169 (eds. Watanabe, S, and Prokhorov, YV). |
 |
|
|
|
| (1988) | Schatte, P. On mantissa distributions in computing and Benford’s law. Journal of Information Processing and Cybernetics EIK 24(9), 443-455. |
 |
|
|
|
| (1988) | Schatte, P. On the uniform distribution of certain sequences and Benford’s law. Math. Nachr. 136, 271-273. |
 |
|
|
|
| (1988) | Schatte, P. On the Almost Sure Convergence of Floating-Point Mantissas and Benford Law. Math. Nachr. 135, 79-83. ISSN:0025-584X. |
 |
|
|
|
| (1988) | Schatte, P. On a law of the iterated logarithm for sums mod 1 with application to Benford's law. Probability Theory and Related Fields 77(2), 167-178. ISSN:0178-8051. |
 |
|
|
|
| (1989) | Clenshaw, CV, Olver, FWJ and Turner, PR. Level-Index Arithmetic - An Introductory Survey. Lecture Notes in Mathematics 1397, pp 95-168. ISSN:0075-8434. |
 |
|
|
|
| (1989) | Davis, BS and Davis, TA. Fibonacci numbers and the golden mean in nature. The Mathematical Scientist 14, 89-100. |
 |
|
|
|
| (1989) | Schatte, P. On measures of uniformly distributed sequences and Benford's law. Monatshefte für Mathematik 107(3), 245-256. ISSN:0026-9255. |
 |
|
|
|
| (1989) | Thomas, JK. Unusual Patterns in Reported Earnings. Accounting Review 64(4), 773-787. ISSN:0001-4826. |
 |
|
|
|
| (1990) | Nagasaka, K, Kanemitsu, S and Shiue, JS. Benford’s law: The logarithmic law of first digit. pp 361-391 in: Győry, K, Halász, G. (eds.) Number theory. Vol. I. Elementary and analytic, Proc. Conf., Budapest/Hung. 1987, Colloq. Math. Soc. János Bolyai 51. |
 |
|
|
|
| (1990) | Schatte, P. On Benford’s law for continued fractions. Math. Nachr. 148, 137-144. |
 |
|
|
|
| (1991) | Burke, J and Kincanon, E. Benford Law and Physical Constants - The Distribution of Initial Digits. American Journal of Physics 59 (10), 952. ISSN:0002-9505. |
 |
|
|
|
| (1991) | Byalko, AV. Statistics of Coefficients in Physical Formulas. Theoretical and Mathematical Physics 88(1), 782-787. ISSN:0040-5779. |
 |
|
|
|
| (1991) | Giuliano Antonini, R. On the notion of uniform distribution mod 1. Fibonacci Quarterly 29(3), 230-234. |
 |
|
|
|
| (1991) | McCloskey, M, Harley, W and Sokol, SM. Models of Arithmetic Fact retrieval - An Evaluation in Light of Findings from Normal and Brain-Damaged Subjects. Journal of Experimental Psychology - Learning Memory and Cognition 17(3), 377-397. ISSN:0278-7393. |
 |
|
|
|
| (1991) | Sakai, H. Frequency distribution of first digit among population. Jinko mondai kenkyu. [Journal of population problems] 47(3), 74-78. |
 |
|
|
|
| (1991) | Schatte, P. On a uniform law of the iterated logarithm for sums mod 1 and Benford’s law. Lithuanian Mathematical Journal 31(1), 133-142. |
 |
|
|
|
| (1991) | Schatte, P and Nagasaka, K. A note on Benford’s law for second order linear recurrences with periodical coefficients. Z. Anal. Anwend. 10(2), 251-254. |
 |
|
|
|
| (1992) | Ashcraft, MH. Cognitive arithmetic: A review of data and theory. Cognition 44 (Aug), 75-106. |
 |
|
|
|
| (1992) | Busta, B and Sundheim, R. Tax return numbers tend to obey Benford's law. Center for Business Research Working Paper No. W93-106-94, St. Cloud State University, Minnesota. |
 |
|
|
|
| (1992) | Busta, B and Sundheim, R. Detecting manipulated tax returns with the use of Benford's Law. Center for Business Research Working Paper W95-106-94, St. Cloud State University, Minnesota. |
 |
|
|
|
| (1992) | Craig, TR. Round-off bias in earnings-per-share calculations. Journal of Applied Business Research 8 (4), 106-113. |
 |
|
|
|
| (1992) | Dehaene, S and Mehler, J. Cross-Linguistic Regularities in the Frequency of Number Words. Cognition 43(1), 1-29. ISSN:0010-0277. |
 |
|
|
|
| (1992) | Goto, K. Some examples of Benford sequences. Mathematical Journal of the Okayama University 34, 225-232. |
 |
|
|
|
| (1992) | Jech, T. The Logarithmic Distribution of Leading Digits and Finitely Additive Measures. Discrete Mathematics 108(1-3), 53-57. ISSN:0012-365X. |
 |
|
|
|
| (1992) | Nigrini, MJ. The Detection of Income Tax Evasion Through an Analysis of Digital Frequencies. PhD thesis, University of Cincinnati, OH, USA. |
 |
|
|
|
| (1992) | Schilling, MF. Sequential Partitioning. American Mathematical Monthly 99(9), 846-855. ISSN:0002-9890. |
 |
|
|
|
| (1992) | Too, YH. On the uniform distribution modulo one of some log-like sequences. Proc. Japan Acad. A 68, 269-272. |
 |
|
|
|
| (1993) | Buck, B, Merchant, AC and Perez, SM. An illustration of Benford’s first digit law using alpha decay half lives. European Journal of Physics 14, 59-63. |
 |
|
|
|
| (1993) | Christian, CW and Gupta, S. New evidence on "Secondary Evasion". The Journal of the American Taxation Association 15, 72-93. |
 |
|
|
|
| (1993) | Deakin, MAB. Another derivation of Benford’s law. Australian Mathematical Society Gazette 20, 162-163. |
 |
|
|
|
| (1993) | Nigrini, MJ. Can Benford's law be used in forensic accounting?. The Balance Sheet (June), 7-8. |
 |
|
|
|
| (1993) | Rieger, J. Das Rätsel der ersten Ziffern. Frankfurter Allgemeine Zeitung, Oktober 20. |
 |
|
|
|
| (1993) | Sundheim, R and Busta, B. Fibonacci numbers tend to obey Benford's law: an extension of Wlodarski and Sentance. Working Paper, St. Cloud State University, St. Cloud, Minnesota. |
 |
|
|
|
| (1994) | Boyle, J. An Application of Fourier Series to the Most Significant Digit Problem. American Mathematical Monthly 101(9), 879-886. ISSN:0002-9890. |
 |
|
|
|
| (1994) | Chaitin-Chatelin, F. Le calcul sur ordinateur a precision finie. Theorie et etat de l’art. CERFACS REPORT TR/PA/94/05. |
 |
|
|
|
| (1994) | Filipponi, P. Fn and Ln cannot have the same initial digit. Pi Mu Epsilon Journal 10.1, 5-6. |
 |
|
|
|
| (1994) | Johnstone, P and Petry, FE. Design and Analysis of Nonbinary Radix Floating-Point Representations. Computers & Electrical Engineering 20(1), 39-50. ISSN:0045-7906. |
 |
|
|
|
| (1994) | Nigrini, MJ. Using digital frequencies to detect fraud. Fraud Magazine, The White Paper Index 8(2), 3-6. |
 |
|
|
|
| (1994) | Stewart, I. Das Gesetz der ersten Ziffer. Mathematische Unterhaltungen, in: Spektrum der Wissenschaft (April), 16-20. |
 |
|
|
|
| (1994) | Wilms, RJG and Brands, JJAM. On the asymptotically uniform distribution modulo 1 of extreme order statistics. Statistica Neerlandica 48(1), 63-70. |
 |
|
|
|
| (1995) | Albers, DJ. Professor of Magic Mathematics. Math Horizons (Feb), 11-15. |
 |
|
|
|
| (1995) | Ashcraft, MH and Christy, KS. The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1-6. Journal for Research in Mathematics Education 26, 396-421. |
 |
|
|
|
| (1995) | Berton, L. He’s Got Their Number: Scholar Uses Math to Foil Financial Fraud. The Wall Street Journal, pg B1, July 10. |
 |
|
|
|
| (1995) | Chaitin-Chatelin, F. Le calcul qualitatif. Comment donner un sens a des resultats faux?. CERFACS REPORT TR/PA/95/10. |
 |
|
|
|
| (1995) | Filipponi, P and Menicocci, R. Some Probabilistic Aspects of the Terminal Digits of Fibonacci Numbers. Fibonacci Quarterly 33(4), 325-331. ISSN:0015-0517. |
 |
|
|
|
| (1995) | Hill, TP. A Statistical Derivation of the Significant-Digit Law. Statistical Science 10(4), 354-363. ISSN:0883-4237. |
 |
|
|
|
| (1995) | Hill, TP. The Significant-Digit Phenomenon. American Mathematical Monthly 102(4), 322-327. ISSN:0002-9890. |
 |
|
|
|
| (1995) | Hill, TP. Base-Invariance Implies Benford's Law. Proceedings of the American Mathematical Society 123(3), 887-895. ISSN:0002-9939. |
 |
|
|
|
| (1995) | Zbrodoff, NJ. Why is 9+7 harder than 2+3 - Strength and Interference as Explanations of the Problem-Size Effect. Memory & Cognition 23(6), 689-700. ISSN:0090-502X. |
 |
|
|
|
| (1996) | Chaitin-Chatelin, F. Is finite precision arithmetic useful for physics?. Journal of Universal Computer Science 2(5), 380-395. |
 |
|
|
|
| (1996) | Chaitin-Chatelin, F and Frayssé, V. Lectures on Finite Precision Computations. SIAM. |
 |
|
|
|
| (1996) | Durrett, R. Probability: Theory and Examples (2nd ed). p 301. |
 |
|
|
|
| (1996) | Feldstein, A and Turner, PR. Overflow and underflow in multiplication and division. Applied Numerical Mathematics 21(3), 221-239. ISSN:0168-9274. |
 |
|
|
|
| (1996) | Fuchs, A and Letta, G. Le problème du premier chiffre decimal pour les nombres premiers. The Electronic Journal of Combinatorics 3(2), R25. |
 |
|
|
|
| (1996) | Hill, TP. A note on distributions of true versus fabricated data. Perceptual and Motor Skills 83, 776-778 Part 1. ISSN:0031-5215. |
 |
|
|
|
| (1996) | Humenberger, H. Das Benford-Gesetz über die Verteilung der ersten Ziffer von Zahlen. Stochastik in der Schule 16(3), 2–17. |
 |
|
|
|
| (1996) | Laherrère, J. Distributions de type “fractal parabolique” dans la Nature. Comptes Rendus de l‘Academie des Sciences 322, Serie II a, no. 7, 535-541. |
 |
|
|
|
| (1996) | Ley, E. On the Peculiar Distribution of the US Stock Indexes' Digits. American Statistician 50(4), 311-313. ISSN:0003-1305. |
 |
|
|
|
| (1996) | Nigrini, MJ. A taxpayer compliance application of Benford’s law. Journal of the American Taxation Association 18(1), 72-91. |
 |
|
|
|
| (1996) | Volcic, A. The First Digit Problem and Scale-Invariance. pp 329-340 in: P. Marcellini, G. Talenti and E. Vesentini (eds), Partial differential equations and applications: collected papers in honor of Carlo Pucci. Marcel Dekker. |
 |
|
|
|
| (1997) | Allaart, PC. An invariant-sum characterization of Benford's law. Journal of Applied Probability 34, 288-291. |
 |
|
|
|
| (1997) | Drmota, M and Tichy, RF. Sequences, Discrepancies and Applications. Lecture Notes in Mathematics 1651. |
 |
|
|
|
| (1997) | Hill, TP. Benford law. Encyclopedia of Mathematics Supplement, vol. 1, 102-103. |
 |
|
|
|
| (1997) | Humenberger, H. Eine Ergänzung zum Benford-Gesetz — weitere mögliche schulrelevante Aspekte. Stochastik in der Schule 17(3), 42–48. |
 |
|
|
|
| (1997) | Irmay, S. The relationship between Zipf's law and the distribution of first digits. Journal of Applied Statistics 24(4), 383-393. ISSN:0266-4763. |
 |
|
|
|
| (1997) | Knuth, DE. The Art of Computer Programming. pp 253-264, vol. 2, 3rd ed, Addison-Wesley, Reading, MA. |
 |
|
|
|
| (1997) | Nigrini, MJ and Mittermaier, LJ. The use of Benford's Law as an aid in analytical procedures. Auditing - A Journal of Practice & Theory 16(2), 52-67. ISSN:0278-0380. |
 |
|
|
|
| (1997) | Smith, SW. Explaining Benford's Law. Chapter 34 in: The Scientist and Engineer's Guide to Digital Signal Processing. Hard Cover, 1997. ISBN 0-9660176-3-3. Republished in softcover by Newnes, 2002. |
 |
|
|
|
| (1997) | Sporring, J. A prior of saliency based pruning algorithms. Technical report DIKU-97/8, Department of Computer Science, University of Copenhagen, Denmark. |
 |
|
|
|
| (1998) | Anonymous. Numerology for accountants. Journal of Accountancy 186(5), 15. |
 |
|
|
|
| (1998) | Browne, MW. Following Benford’s law, or looking out for no. 1. The New York Times, August 4, 1998. |
 |
|
|
|
| (1998) | Busta, B and Weinberg, R. Using Benford’s law and neural networks as a review procedure. Managerial Auditing Journal 13(6), 356-366. |
 |
|
|
|
| (1998) | Candeloro, D. Some remarks on the first digit problem. Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 511-532. |
 |
|
|
|
| (1998) | Cockshott, WP, McGregor, D and Wilson, J. High-Performance Operations Using a Compressed Database Architecture. The Computer Journal 41(5), 283-296. ISSN:0010-4620. |
 |
|
|
|
| (1998) | De Ceuster, MJK, Dhaene, G and Schatteman, T. On the hypothesis of psychological barriers in stock markets and Benford’s law. Journal of Empirical Finance 5(3), 263-279. |
 |
|
|
|
| (1998) | Dworschak, M. Weiter Weg zur Zwei. pp 228-229 in: Der Spiegel 47, 16 November. |
 |
|
|
|
| (1998) | Hill, TP. The First-Digit Phenomenon. American Scientist 86 (4), 358-363. ISSN:0003-0996. |
 |
|
|
|
| (1998) | Nigrini, MJ. Numerology for Accountants. Journal of Accountancy, November 1998, p. 15. |
 |
|
|
|
| (1998) | Nilsson, J. Ständigt dessa ettor .... Dagens Nyheter, November 8. |
 |
|
|
|
| (1998) | Peterson, I. First Digits. Science News Online, Ivars Peterson's MathTrek, 27 June. |
 |
|
|
|
| (1998) | Pietronero, L, Tosatti, E, Tosatti, V and Vespignani, A. The Uneven Distribution of Numbers in Nature. Arxiv preprint cond-mat/9808305, 1998 - arxiv.org. |
 |
|
|
|
| (1998) | Sandouly, P. Fraudes la preuve par 1. Jeune Afrique 1978, December 8. |
 |
|
|
|
| (1998) | Schatte, P. On Benford's law to variable base. Statistics & Probability Letters 37(4): 391-397. ISSN:0167-7152. |
 |
|
|
|
| (1998) | Schimmeck, T. Eins zu null für Eins. Der Zufall mag manche Ziffern lieber als andere. Süddeutsche Zeitung Magazin Nr. 45, November 6. |
 |
|
|
|
| (1998) | Slijepčević, S. A note on initial digits of recurrence sequences. Fibonacci Quarterly 36(4), 305-308. |
 |
|
|
|
| (1999) | Buyse, M, George, SL and et al.. The Role of Biostatistics in the Prevention, Detection and Treatment of Fraud in Clinical Trials. Statistics in Medicine 18 (24), 3435-3451. ISSN:0277-6715. |
 |
|
|
|
| (1999) | Coderre, D.. Fraud Detection: Using Data Analysis Techniques to Detect Fraud. Global Audit Publications, ACL, Vancouver, Canada. |
 |
|
|
|
| (1999) | Dominguez, MP and Burguillo, JDA. El primer digito significativo. Revista Epsilon de la S.A.E.M. "Thales", 45 (15/3), 339-352. |
 |
|
|
|
| (1999) | Ettredge, ML and Srivastava, RP. Using digital analysis to enhance data integrity. Issues in Accounting Education 14(4), 675-690. |
 |
|
|
|
| (1999) | Florack, LMJ. Visual representations embodying spacetime structure. Technical Report, University Utrecht, UU-CS-1999-07. |
 |
|
|
|
| (1999) | Frieden, BR. F-Information, a Unitless Variant of Fisher Information. Foundations of Physics 29(10), 1521-1541. ISSN:0015-9018. |
 |
|
|
|
| (1999) | Hesman, T. Randomness rules. The Dallas Morning News, August 9. |
 |
|
|
|
| (1999) | Hill, TP. Le premier chiffre significatif fait sa loi. La Recherche Hors Serie 316, 72-74. |
 |
|
|
|
| (1999) | Hill, TP. The difficulty of faking data. Chance 12(3), 27-31. |
 |
|
|
|
| (1999) | Lavelle, L. Got your number. The Record, August 15, Bergen County, NJ, USA. |
 |
|
|
|
| (1999) | Lebiere, C. The dynamics of cognition: an ACT-R model of cognitive arithmetic. Kognitionswissenschaft 8(1), 5-19. |
 |
|
|
|
| (1999) | Lowe, T, Murphy, S and Hayward, J. The first digit law. Preprint. |
 |
|
|
|
| (1999) | Matthews, R. The Power of One. New Scientist 163, July 10, 26-30. |
 |
|
|
|
| (1999) | Nigrini, MJ. I’ve got your number. Journal of Accountancy 187(5), 79-83. |
 |
|
|
|
| (1999) | Nigrini, MJ. Adding value with digital analysis. The Internal Auditor 56(1), 21-23. |
 |
|
|
|
| (1999) | Nigrini, MJ. Peculiar patterns of first digits. IEEE Potentials 18(2), 24-27. |
 |
|
|
|
| (1999) | Parasote, V. Fraudeurs, méfiez-vous du 6!. science & vie junior, August, 20-21. |
 |
|
|
|
| (1999) | Quick, R. Prüfungsmethoden im Spiegel der Forschung. pp 177-234 in: Richter (Hg.), Theorie und Praxis der Wirtschaftsprüfung II, Wirtschaftsprüfung und ökonomische Theorie – Prüfungsmarkt – Prüfungsmethoden – Urteilsbildung. |
 |
|
|
|
| (1999) | Soffer, BH and Lynch, DK. Some paradoxes, errors, and resolutions concerning the spectral optimization of human vision. American Journal of Physics 67(11), 946-953. ISSN:0002-9505. |
 |
|
|
|
| (1999) | Vardi, I. Premiers chiffres significatifs et nombres algébriques. [Leading digits and algebraic numbers.]. Comptes rendus de l’Acadmie des sciences, Serie I 328 (9), 749-754. ISSN:0764-4442. |
 |
|
|
|
| (1999) | Walthoe, J, Hunt, R and Pearson, M. Looking out for number one. +plus magazine, September 1999. |
 |
|
|
|
| (2000) | Albrecht, CC, Albrecht, WS and Dunn, JG. Conducting a Pro-Active Fraud Audit: A Case Study. The Journal of Forensic Accounting II: 203-218. |
 |
|
|
|
| (2000) | Albrecht, J. Die Eins vom Planet Zob. Die Zeit, 28 September. |
 |
|
|
|
| (2000) | Amershi, AH and Feroz, EH. The occurrence of Fibanocci numbers in time series of financial accounting ratios. Anomalies or indicators of firm survival, bankruptcy and fraud? An exploratory study. Managerial Finance 26(11), 5-20. |
 |
|
|
|
| (2000) | Becker, TJ. Sorry, Wrong Number. Century-old math rule ferrets out modern-day digital deception. Research Horizons, Fall 2000, Georgia Tech. |
 |
|
|
|
| (2000) | Drake, PD and Nigrini, MJ. Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, 127-146. |
 |
|
|
|
| (2000) | Dumas, CF and Devine, JH. Detecting Evidence of Non-Compliance in Self-
Reported Pollution Emissions Data: An Application of Benford’s Law. Selected Paper, American Agricultural Economics Association, Annual meeting. |
 |
|
|
|
| (2000) | Flam, F. Math formula could help spot tax cheats. The Pittsburg Post-Gazette, 19 April. |
 |
|
|
|
| (2000) | Humenberger, H. Das Benford-Gesetz—warum ist die Eins als führende Ziffer von Zahlen bevorzugt?. In: Henn, HW, Förster, F and Meyer, J (eds.), Materialien für einen realitätsbezogenen Mathematikunterricht, Band 6, 138–150. Schriftenreihe der ISTRON-Gruppe, Franzbecker, Hildesheim. |
 |
|
|
|
| (2000) | Lanza, R. Using Digital Analysis To Detect Fraud: Review of the DATAS Statistical
Analysis Tool. Journal of Forensic Accounting 1, 291-296. |
 |
|
|
|
| (2000) | Leemis, LM, Schmeiser, BW and Evans, DL. Survival Distributions Satisfying Benford's Law. American Statistician 54(4), 236-241. ISSN:0003-1305. |
 |
|
|
|
| (2000) | Lei, S, Smith, M and Succi, G. Empirical investigation of a novel approach to check the integrity of software engineering measuring processes. The 22nd International Conference on Software Engineering, Limerick, Ireland. |
 |
|
|
|
| (2000) | Lowe, R. Benford's Law and fraud detection. Chartered Accountants Journal of New Zealand 79(10), 32-36. ISSN:1172-9929. |
 |
|
|
|
| (2000) | Lowe, R. When Benford's law is broken. Chartered Accountants Journal of New Zealand 79(11), 24-27. ISSN:1172-9929. |
 |
|
|
|
| (2000) | Maney, K.. Baffled by math? Wait 'til I tell you about Benford's Law. USA today, 18 October 2000. |
 |
|
|
|
| (2000) | Nigrini, MJ. Digital Analysis Using Benford's Law: Tests Statistics for Auditors. Global Audit Publications, Vancouver, Canada. |
 |
|
|
|
| (2000) | Nigrini, MJ. Continuous Auditing. Preprint. |
 |
|
|
|
| (2000) | Niskanen, J and Keloharju, M. Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms. European Accounting Review 9(3), 443-452. |
 |
|
|
|
| (2000) | Stanek, S. Applying Benford's Law to internal audit. KnowledgeSpace, 14 August. |
 |
|
|
|
| (2000) | Tolle, CR, Budzien, JL and LaViolette, RA. Do dynamical systems follow Benford's law?. Chaos, 10(2), 331-336. ISSN:1054-1500. |
 |
|
|
|
| (2000) | Vogt, W. Benford’s Gesetz : Steuer- und Budgetsündern auf der Spur – Zahlen lügen nicht. Schweizer Versicherung 9, 27-29. |
 |
|
|
|
| (2000) | Williamson, J. Random probability functions. Preprint. |
 |
|
|
|
| (2000) | York, D. Benford’s law. Accountancy 126(1283), 126. |
 |
|
|
|
| (2001) | Armstrong, JS. Extrapolation for time-series and cross-sectional data. In: Principles of Forecasting: a Handbook for Researchers and Practitioners. Kluwer Publishers. |
 |
|
|
|
| (2001) | Barnard, PJ, Scott, SK and May, J. When the central executive lets us down: Schemas, attention, and load in a generative working memory task. Memory, 9 (4-6), 209-221. ISSN:0965-8211. |
 |
|
|
|
| (2001) | Berger, A. Chaos and Chance. De Gruyter, Berlin and New York. |
 |
|
|
|
| (2001) | Brunell, TL and Glazer, A. Rational Response to Irrational Attitudes: The Level of the Gasoline Tax in the United States. Journal of Policy Analysis and Management 20(4), 761-769. ISSN:0276-8739. |
 |
|
|
|
| (2001) | Das, S and Zhang, H. The stock market’s under-reaction to rounding-up in EPS. Preprint. |
 |
|
|
|
| (2001) | Gent, I and Walsh, T. Benford’s law. Preprint. APES Research Report, 2001. |
 |
|
|
|
| (2001) | Guillou, A and Hall, P. A diagnostic for selecting the threshold in extreme value analysis. Journal of the Royal Statistical Society Series B - Statistical Methodology 63(2), 293-305. ISSN:1369-7412. |
 |
|
|
|
| (2001) | Hill, TP. Response to "Benfords Gesetz", Brief an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 3/2001, p 4. |
 |
|
|
|
| (2001) | Hobza, T and Vajda, I. On the Newcomb-Benford law in models of statistical data. Revista Matematica Complutense XIV(2), 407-420. ISSN:1139-1138. |
 |
|
|
|
| (2001) | Huxley, SJ. Why Benford's Law works and How to do digit analysis on spreadsheets. University of San Francisco website. |
 |
|
|
|
| (2001) | Jamain, A. Benford’s Law. Master Thesis. Imperial College of London and ENSIMAG. |
 |
|
|
|
| (2001) | Jansen, CJM and Pollman, MMW. On round numbers: pragmatic aspects of numerical expressions. Journal of Quantitative Linguistics 8(3), 187-201. |
 |
|
|
|
| (2001) | Jolion, JM. Images and Benford's Law. Journal of Mathematical Imaging and Vision 14(1), 73-81. ISSN:0924-9907. |
 |
|
|
|
| (2001) | Knudsen, T. Zipf’s Law for Cities and Beyond - The Case of Denmark. American Journal of Economics and Sociology 60(1), 123-146. ISSN:0002-9246. |
 |
|
|
|
| (2001) | Mitchell, J. Clustering and psychological barriers: the importance of numbers. Journal of Futures Markets 21(5), 395-428. ISSN:0270-7314. |
 |
|
|
|
| (2001) | Mörters, P. Benford’s Gesetz über die Verteilung der Ziffern. Habilitationsvorlesung. Kaiserslauten und Bath. |
 |
|
|
|
| (2001) | Nordtvedt, K. Earth’s equivalence principle violating multipoles: more science from a robust violation signal in STEP . Classical and Quantum Gravity 18(13), 2467-2473. ISSN:0264-9381. |
 |
|
|
|
| (2001) | Pietronero, L, Tosatti, E, Tosatti, V and Vespignani, A. Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf. Physica A - Statistical Mechanics and its Applications 293(1-2), 297-304. ISSN:0378-4371. |
 |
|
|
|
| (2001) | Schatte, P. Briefe an die Herausgeber. Mitteilungen der Deutschen Mathematiker Vereinigung, 2/2001, pp 6-7. |
 |
|
|
|
| (2001) | Scott, PD and Fasli, M. Benford’s law: an empirical investigation and a novel explanation. CSM Technical Report 349, Department of Computer Science, University of Essex, UK. |
 |
|
|
|
| (2001) | Scott, SK, Barnard, PJ and May, J. Specifying executive representations and processes in number generation tasks. Quarterly Journal of Experimental Psychology, Section A - Human Experimental Psychology 54(3), 641-664. ISSN:0272-4987. |
 |
|
|
|
| (2001) | Snyder, MA, Curry, JH and Dougherty, AM. Stochastic aspects of one-dimensional discrete dynamical systems: Benford's law. Physical Review E 64(2), Art. No. 026222. ISSN:1063-651X. |
 |
|
|
|
| (2002) | Albrecht, WS and Albrecht, CC. Root out financial deception. Journal of Accountancy 193(4), 30-34. |
 |
|
|
|
| (2002) | Bhattacharya, S. From Kautilya to Benford – Trends in Forensic and Investigative Accounting. 9th World Congress of Accounting Historians, Deakin University. |
 |
|
|
|
| (2002) | Bolton, RJ and Hand, DJ. Statistical Fraud Detection: a review. Statistical Science 17(3), 235-249. |
 |
|
|
|
| (2002) | Brooks, D. Naked-Eye Quantum Mechanics:
Practical Applications of Benford's Law for Integer Quantities. Frequencies - The Journal of Size Law Applications, Special Paper #1, 1-8. |
 |
|
|
|
| (2002) | Brown, P, Chua, A and Mitchell, J. The influence of cultural factors on price clustering: Evidence from Asia–Pacific stock markets. Pacific-Basin Finance Journal, 10(3), 307-332. |
 |
|
|
|
| (2002) | Diaconis, P. G.H. Hardy and Probability ???. Bulletin of the London Mathematical Society 34, 385-402. |
 |
|
|
|
| (2002) | Dickinson, JR. A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, 26-33. |
 |
|
|
|
| (2002) | Diekmann, A. Sources of bias and quality of data in social science research. Institute of Technology Assessment (ITA) Working Paper No. ITA-02-04. |
 |
|
|
|
| (2002) | Gelman, A and Nolan, D. Teaching Statistics: a bag of tricks. Oxford University Press. |
 |
|
|
|
| (2002) | Gelman, A and Nolan, D. Some Statistical Sampling and Data Collection Activities. Mathematics Teacher 95(9), 688. |
 |
|
|
|
| (2002) | Gottwald, GA and Nicol, M. On the nature of Benford’s law. Physica A: Statistical Mechanics and its Applications 303(3-4), 387-396. |
 |
|
|
|
| (2002) | Griffiths, TL and Kalish, ML. A multidimensional scaling approach to mental multiplication. Memory & Cognition 30(1), 97-106. ISSN:0090-502X. |
 |
|
|
|
| (2002) | Hassan, B. Assessing data authenticity with Benford’s law. Information Systems Control Journal 6. |
 |
|
|
|
| (2002) | Hoyle, DC, Rattray, M, Jupp, R and Brass, A. Making sense of microarray data distributions. Bioinformatics 18(4), 576-584. ISSN:1367-4803. |
 |
|
|
|
| (2002) | Khoshnevisan, M and Bhattacharya, S. A short note on financial data set detection using neutrosophic probability. pp 74-79 in: Smarandache, F (ed), Proceedings of the first international conference on neutrosophy, neutrosophic logic, neutrosophic set, neutrosophic probability and statistics, University of New Mexico - Gallup, Dec 2001. |
 |
|
|
|
| (2002) | Kisets, D. Informational optimality of decimal numeration system. Academic Open Internet Journal 6. |
 |
|
|
|
| (2002) | Kreiner, WA. First digit law. Preprint, Universität Ulm. |
 |
|
|
|
| (2002) | Kumar, K and Bhattacharya, S. Benford’s law and its application in financial fraud detection. Advances in Financial Planning and Forecasting 11, 57-70. |
 |
|
|
|
| (2002) | Livio, M. The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number. New York: Broadway Books, pp. 232-236. |
 |
|
|
|
| (2002) | Mochty, L. Die Aufdeckung von Manipulationen im Rechnungswesen - Was leistet das Benford's Law?. Die Wirtschaftsprüfung, 55, 725-736. |
 |
|
|
|
| (2002) | Pippenger, N. Expected acceptance counts for finite automata with almost uniform input. Algorithms and Computation, Proceedings. Lecture Notes in Computer Science 2518, 636-646. ISSN:0302-9743. |
 |
|
|
|
| (2002) | Popescu, II. On the Lavelette’s nonlinear Zipf’s law. Website. |
 |
|
|
|
| (2002) | Renaud, P. Scale invariant means and the first digit problem. New Zealand Journal of Mathematics 31, 73-83. |
 |
|
|
|
| (2002) | Sánchez, JLH. Analisis de la megacefalia demografica urbana mediante leyes de Zipf y de potencia
(Urban demographic analysis by using Zipf and potence laws). Theoria 11, 21-26. |
 |
|
|
|
| (2002) | Sandron, F. Do populations conform to the law of anomalous numbers?. Population 57(4/5), 753-761 (translated from French by SR Hayford). ISSN:1634-2941. |
 |
|
|
|
| (2002) | Seaman, RS. The relevance of Benford's Law to background field errors in data assimilation. Australian Meteorological Magazine 51(1), 25-33. ISSN:0004-9743. |
 |
|
|
|
| (2002) | Smith, CA. Detecting Anomalies in Your Data Using Benford’s Law. Paper 249 (Statistics and Data Analysis) in: Proceedings of SUGI 27, Orlando, USA, April 14-17. |
 |
|
|
|
| (2002) | Sornette, D. Why stock markets crash: critical events in complex financial systems. Princeton University Press. |
 |
|
|
|
| (2002) | Stoschek, EP and Schönfeld, D. Benford's Law - Places of interest near Benford`s Law. Module 45 of: Workshop on Design of Algorithms. |
 |
|
|
|
| (2002) | Taylor, RN, McEntegart, DJ and Stillman, EC. Statistical techniques to detect fraud and other data irregularities in clinical questionnaire data. Drug Information Journal 36, 115-125. |
 |
|
|
|
| (2002) | van Caneghem, T. Earnings management induced by cognitive reference points. The British Accounting Review 34(2), 167-178. |
 |
|
|
|
| (2002) | Wallace, WA. Assessing the quality of data used for benchmarking and decision- making. The Journal of Government Financial Management 51(3), 16-22. |
 |
|
|
|
| (2003) | Bensmail, H and Haoudi, A. Postgenomics: Proteomics and Bioinformatics in Cancer Research. Journal of Biomedicine and Biotechnology (4), 217-230. ISSN:1110-7243. |
 |
|
|
|
| (2003) | Berleant, D, Cheong, MP, Chu,C, Guan,Y, Kamal,A, Shedble, G, Ferson,S and Peters, JF. Dependable Handling of Uncertainty. Reliable Computing 9(6), 407-418. ISSN:1385-3139. |
 |
|
|
|
| (2003) | Canessa, E. Theory of analogous force on number sets. Physica A 328, 44-52. |
 |
|
|
|
| (2003) | Caster, P, Mittag, B and Scherga, C. Application of Digital Analysis To Assess the Quality and Usability of the ATA Database. Journal of Forensic Accounting 4, 95-104. |
 |
|
|
|
| (2003) | Cho, MJ, Eltinge, JL and Swanson, D. Inferential methods to identify possible interviewer fraud using leading digit preference patterns and design effect matrices. Proceedings of the American Statistical Association. |
 |
|
|
|
| (2003) | Christensen, JA and Byington, JR. The computer: an essential fraud detection tool. Journal of Corporate Accounting & Finance 14(5), 23-27. |
 |
|
|
|
| (2003) | Das, S and Zhang, H. Rounding-up in reported EPS, behavioral thresholds, and earnings management. Journal of Accounting & Economics 35(1), 31-50. ISSN:0165-4101. |
 |
|
|
|
| (2003) | Engel, HA and Leuenberger, C. Benford's law for exponential random variables. Statistics & Probability Letters 63, 361-365. ISSN:0167-7152. |
 |
|
|
|
| (2003) | Haigh, J. Benford's Law. pp 283-286 in: Taking Chances: Winning with Probability, Oxford University Press. |
 |
|
|
|
| (2003) | Hassan, B. Examining data accuracy and authenticity with leading digit frequency analysis. Industrial Management & Data Systems 103(1-2), 121-125. ISSN:0263-5577. |
 |
|
|
|
| (2003) | Havil, J. Benford's Law. Sec 14.2, pp 145-155 in: Gamma: Exploring Euler's Constant, Princeton University Press, USA. |
 |
|
|
|
| (2003) | Hürlimann, W. A generalized Benford law and its application. Advances and Applications in Statistics 3(3), 217-228. |
 |
|
|
|
| (2003) | Kinnunen, J and Koskela, M. Who Is Miss World in Cosmetic Earnings Management? A Cross-National Comparison of Small Upward Rounding of Net Income Numbers among Eighteen Countries. Journal of International Accounting Research 2, 39-68. |
 |
|
|
|
| (2003) | Kreiner, WA. On the Newcomb-Benford Law. Zeitschrift für Naturforschung Section A - A Journal of Physical Sciences 58(11), 618-622. ISSN:0932-0784. |
 |
|
|
|
| (2003) | Linz, D. Benfords Gesetz. Math. Naturwiss. Unterr. 56(1), 31-32. |
 |
|
|
|
| (2003) | Martín, AB. Sistematización del proceso de depuración de los datos en estudios con seguimientos. PhD Thesis, Universitat Autònoma de Barcelona, Spain. |
 |
|
|
|
| (2003) | Misiolek, E. Swarm simulations of the power law distribution models. Poster session submission. |
 |
|
|
|
| (2003) | Müller, M. Anwendungsmöglichkeiten der Ziffernanalyse in der Prüfungspraxis mit Schwerpunkt auf Benford’s Law. Diploma thesis, WU Wien, Austria. |
 |
|
|
|
| (2003) | Nguyen, HT, Kreinovich, V and Longpré, L. Dirty pages of logarithm tables, lifetime of the universe, and subjective (fuzzy) probabilities on finite and infinite intervals. The 12th IEEE International Conference on Fuzzy Systems. FUZZ’03. Fuzzy Systems 1, 67-73. |
 |
|
|
|
| (2003) | O'Brien, C. Working Group on Methods on Fish Stock Assessments. ICES CM 2003/D:03 Ref. ACFM, G. |
 |
|
|
|
| (2003) | Paulos, JA. Benford's Law and Looking Out for Number One. pp 72-74 in: A mathematician plays the stock market, Basic Books. |
 |
|
|
|
| (2003) | Peter, M. The asymptotic distribution of elements in automatic sequences. Theoretical Computer Science 301(1-3), 285-312. |
 |
|
|
|
| (2003) | Quick, R and Wolz, M. Benford's Law in deutschen Rechnungslegungsdaten. Betriebswirtschaftliche Forschung und Praxis 55(2), 208-224. ISSN:0340-5370. |
 |
|
|
|
| (2003) | Rafeld, H. Digitale Ziffernanalyse mit Benford's Law zur Deliktrevision doloser Handlungen. Diploma thesis, Berufsakademie Ravensburg, Germany. |
 |
|
|
|
| (2003) | Rose, AM and Rose, JM. Turn Excel into a financial sleuth: an easy-to-use digital analysis tool can red-flag irregularities. Journal of Accountancy 196(2), 58-60. |
 |
|
|
|
| (2003) | Rücker, G. Benford's Law in Medical Data Sets. presentation given at: 49th Biometric Conference of the German Region of theInternational Biometric Society at Wuppertal, March 2003. |
 |
|
|
|
| (2003) | Saville, A. Using Benford's Law to predict data error and fraud. An examination of companies listed on the JSE securities exchange. |
 |
|
|
|
| (2003) | Schräpler, JP and Wagner, GG. Identification, characteristics and impact of faked interviews in surveys. An analysis by means of genuine fakes in the raw data of SOEP. IZA Discussion paper no. 969. Also published as DIW Berlin (German Institute for Economic Research) discussion paper 392, December 2003 - online at www.diw-berlin.de/documents/publikationen/73/41110/dp392.pdf. |
 |
|
|
|
| (2003) | Sebastiani, P, Gussoni, E, Kohane, IS and Ramoni, MF. Statistical challenges in functional genomics. Statistical Science 18(1), 33-60. |
 |
|
|
|
| (2003) | Shallit, J. What this country needs is an 18c piece. The Mathematical Intelligencer 25(2), 20-23. |
 |
|
|
|
| (2003) | Sloane, NJA. Sequences A055439 - A055449. in: The On-Line Encyclopedia of Integer Sequences (www.research.att.com/~njas/sequences/). |
 |
|
|
|
| (2003) | Swanson, D, Cho, MJ and Eltinge, J. Detecting possibly fraudulent or error-prone survey data using Benford’s law. pp 4172-4177 in: 2003 Joint Statistical Meetings - Section on Survey Research Methods, Proceedings of the American Statistical Association. |
 |
|
|
|
| (2003) | Weisstein, EW. Benford's Law. pp 181-182 in: CRC concise encyclopedia of mathematics, Chapman & Hall. |
 |
|
|
|
| (2004) | Baiocchi, G. Using Perl for Statistics: Data Processing and Statistical Computing. Journal of Statistical Software, 2004 , Vol. 11, Issue 1. |
 |
|
|
|
| (2004) | Berger, A. Dynamics and digits: on the ubiquity of Benford’s law. pp 693-695 in: F. Dumortier, H. Broer, J. Mahwin, A. Vanderbauwhede, S. Verduyn Lunel (eds): Proceedings of Equadiff 2003. World Scientific. |
 |
|
|
|
| (2004) | Bogomolny, A. Benford’s Law and Zipf's Law. |
 |
|
|
|
| (2004) | Bourke, N and van Peursem, K. Detecting fraudulent financial reporting: teaching the 'watchdog' new tricks. Working paper 79, University of Waikato. ISSN:1173-7182. |
 |
|
|
|
| (2004) | Casey, MC. Integrated Learning in Multi-net Systems. University of Surrey Ph.D. Thesis submitted Feb 2004. |
 |
|
|
|
| (2004) | Dlugosz, S. Digitalanalyse als Ansatz zur Betrugserkennung in Finanzdaten. Diploma thesis, Westfälische Wilhelms-Universität Münster, Germany. |
 |
|
|
|
| (2004) | Doucouliagos, C. Number preference in Australian stocks. Applied Financial Economics 14(1), 43-54. |
 |
|
|
|
| (2004) | Durtschi, C, Hillison, W and Pacini, C. The effective use of Benford’s law to assist in detecting fraud in accounting data. Journal of Forensic Accounting 1524-5586/Vol. V, 17-34. |
 |
|
|
|
| (2004) | Garcia-Berthou, E and Alcaraz, C. Incongruence between test statistics and P values in medical papers. BMC Medical Research Methodology 4(13). |
 |
|
|
|
| (2004) | Geyer, CL and Williamson, PP. Detecting Fraud in Data Sets Using Benford's Law. Communications in Statistics: Simulation and Computation 33(1), 229-246. ISSN:0361-0918. |
 |
|
|
|
| (2004) | Hürlimann, W. Integer powers and Benford’s law. International Journal of Pure and Applied Mathematics 11(1), 39-46. |
 |
|
|
|
| (2004) | Janvresse, E and de la Rue, T. From Uniform Distributions to Benford’s Law. Journal of Applied Probability 41(4), 1203-1210. ISSN:0021-9002. |
 |
|
|
|
| (2004) | Kendal, WS. Taylor’s ecological power law as a consequence of scale invariant exponential dispersion models. Ecological Complexity 1(3), 193-209. |
 |
|
|
|
| (2004) | Klink, S and Henke, M. Das Gesetz der ersten Ziffer. Projektarbeit im Rahmen des Fachwissenschaftlichen Seminars (Leitung: Prof. Dr. Maria Specovius-Neugebauer), Universität Kassel, Germany. |
 |
|
|
|
| (2004) | Komulainen, T. Self-similarity and power laws. Heikki Hyötyniemi (ed.): Complex Systems - Science on the Edge of Chaos. Helsinki University of Technology, Control Engineering Laboratory, Report 145, 2004. |
 |
|
|
|
| (2004) | Koskivaara, E. Artificial neural networks in analytical review procedures. Managerial Auditing Journal 19(2), 191-223. |
 |
|
|
|
| (2004) | Leibon, G. Google numbers. Chance News 13.03. |
 |
|
|
|
| (2004) | Li, Z, Cong, L and Wang, H. Discussion on Benford’s law and its application. http://arxiv.org/abs/math.ST/0408057. |
 |
|
|
|
| (2004) | Lindsay, DH, Foote, PS, Campbell, A and Reilly, DP. Detecting fraud in the data using automatic intervention detection. Fraud Magazine. A Publication of the Association of Certified Fraud Examiners, January/February 2004. |
 |
|
|
|
| (2004) | Moore, GB and Benjamin, CO. Using Benford's Law for fraud detection. Internal Auditing 19(1), 4-9. |
 |
|
|
|
| (2004) | Murphy, J, Baxter, R, Eyerman, J, Cunningham, D and Kennet, J. A system for detecting interviewer falsification. RTI International at 59th Annual AAPOR Conference, Phoenix, Arizona. |
 |
|
|
|
| (2004) | Nguyen, HT, Kreinovich, V and Longpré, L. Dirty Pages of Logarithm Tables, Lifetime of the Universe, and (Subjective) Probabilities on Finite and Innite Intervals. Reliable Computing 10(2), 83-106. |
 |
|
|
|
| (2004) | Pippenger, N. Entropy and expected acceptance counts for finite automata. IEEE Transactions on Information Theory 50(1), 78-88. ISSN:0018-9448. |
 |
|
|
|
| (2004) | Porras, J and English, N. Data-Driven Approaches to Identifying Interviewer Falsification: The Case of Health Surveys. Proceedings of the American Statistical Association, Survey Research Methods Section, 4223-4228. |
 |
|
|
|
| (2004) | Posch, PN. Ziffernanalyse in der Fälschungsaufspürung. Benford’s Gesetz und Steuererklärungen in Theorie und Praxis. unpublished manuscript. |
 |
|
|
|
| (2004) | Pustet, R. Zipf and his heirs. Language Sciences 26(1), 1-25. ISSN:0388-0001. |
 |
|
|
|
| (2004) | Radev, DR. Weakly supervised graph-based methods for classification. Technical Report CSE-TR-500-04, University of Michigan. |
 |
|
|
|
| (2004) | Rodriguez, RJ. First Significant Digit Patterns from Mixtures of Uniform Distributions. American Statistician 58(1), 64-71. ISSN:0003-1305. |
 |
|
|
|
| (2004) | Rodriguez, RJ. Reducing False Alarms in the Detection of Human Influence on Data. Journal of Accounting, Auditing & Finance 19(2), 141-158. |
 |
|
|
|
| (2004) | Schäfer, C, Schräpler, JP and Müller, KR. Identification, Characteristics and Impact of Faked and Fraudulent Interviews in Surveys. |
 |
|
|
|
| (2004) | Schäfer, C, Schräpler, JP, Müller, KR and Wagner GG. Automatic Identification of Faked and Fraudulent Interviews in Surveys by Two Different Methods. Discussion paper 441, DIW Berlin (German Institute for Economic Research). |
 |
|
|
|
| (2004) | Skousen, CJ, Guan, L and Wetzel, TS. Anomalies and unusual patterns in reported earnings: Japanese managers round earnings. Journal of International Financial Management & Accounting 15(3), 212-234. |
 |
|
|
|
| (2004) | Valk, G. Benford’s Law and Faking Data. The Pi, Volume 1, Spring 2004, Dept of Mathematics and Statistics, Georgia State University, Atlanta, USA. |
 |
|
|
|
| (2004) | van Caneghem, T. The impact of audit quality on earnings rounding-up behaviour: some UK evidence. European Accounting Review 13(4), 771-786. |
 |
|
|
|
| (2005) | Al-Marzouki, S, Evans, S, Marshall, T and Roberts and I. Are these data real? Statistical methods for the detection
of data fabrication in clinical trials. Brit. Med. J 331, 267-270. |
 |
|
|
|
| (2005) | Arita, M. Scale-freeness and biological networks. Journal of Biochemistry, 138 (1): 1-4. ISSN:0021-924X. |
 |
|
|
|
| (2005) | Berger, A. Benford’s Law in power-like dynamical systems. Stoch. Dyn. 5, 587-607. ISSN:0219-4937. |
 |
|
|
|
| (2005) | Berger, A. Multi-dimensional dynamical systems and Benford's law. Discrete and Continuous Dynamical Systems 13(1), 219-237. ISSN:1078-0947. |
 |
|
|
|
| (2005) | Berger, A, Bunimovich, LA and Hill, TP. One-dimensional dynamical systems and Benford's law. Transactions of the American Mathematical Society 357(1), 197-219. ISSN:0002-9947. |
 |
|
|
|
| (2005) | Bhattacharya, P, Chatterjee, A and Chakrabarti, BK. A common mode of origin of the power law distributions in models of market and earthquake. http://arxiv.org/abs/physics/0510038. |
 |
|
|
|
| (2005) | Bhattacharya, S, Kumar, K and Smarandache, F. Conditional probability of actually detecting a financial fraud – a neutrosophic extension to Benford’s law. International Journal of Applied Mathematics 17(1), 7-14. |
 |
|
|
|
| (2005) | Brown, RJC. Benford's Law and the screening of analytical data: the case of pollutant concentrations in ambient air. Analyst 130(9), 1280-1285. ISSN:0002-2654. |
 |
|
|
|
| (2005) | Cleary, R and Thibodeau, JC. Applying Digital Analysis Using Benford‘s Law to Detect Fraud: The Dangers of Type I Errors. Auditing - A Journal of Practice & Theory 24(1), 77-81. ISSN:0278-0380. |
 |
|
|
|
| (2005) | Del Acebo, E and Sbert, M. Benford's Law for Natural and Synthetic Images. Computational Aesthetics in Graphics, Visualization and Imaging 2005, pp. 169-176. ISSN:1816-0859. |
 |
|
|
|
| (2005) | Dos Santos, J, Diniz, JA and Corrar, LJ. O Foco é a Teoria Amostral nos Campos da Auditoria Contábil Tradicional e da Auditoria Digital: testando a Lei de Newcomb-Benford para o primeiro digito nas contas publicas. Brazilian Business Review 2 (1), 71-89. |
 |
|
|
|
| (2005) | Doucouliagos, C. Price exhaustion and number preference: time and price confluence in Australian stock prices. The European Journal of Finance 11(3), 207-222. |
 |
|
|
|
| (2005) | El Sehity, T, Hoelzl, E and Kirchler, E. Price developments after a nominal shock: Benford's Law and psychological pricing after the euro introduction. International Journal of Research in Marketing 22(4), 471-480. ISSN:0167-8116. |
 |
|
|
|
| (2005) | Giuliano Antonini, R and Grekos, G. Regular sets and conditional density: an extension of Benford's law. Colloq. Math. 103, 173-192. |
 |
|
|
|
| (2005) | Groce, D. Benford's Law. Presentation at the Lyncean Group, California, USA, 23 March. |
 |
|
|
|
| (2005) | Guan, L, Skousen, CJ and Wetzel, TS. Unusual Patterns in Reported Earnings: Additional Evidence. Journal of Forensic Accounting 6(2), 317-332. |
 |
|
|
|
| (2005) | Harrington, JE. Detecting Cartels. Economics Working Paper 526, Johns Hopkins University, to appear in: Advances in the Economics of Competition Law. |
 |
|
|
|
| (2005) | Herrmann, D and Thomas, WB. Rounding of Analyst Forecasts. Accounting Review 80(3), 805-823. ISSN:0001-4826. |
 |
|
|
|
| (2005) | Hill, TP and Schürger, K. Regularity of digits and significant digits of random variables. Journal of Stochastic Processes and their Applications 115(10), 1723-1743. |
 |
|
|
|
| (2005) | Johnson, GG. Financial Sleuthing Using Benford's Law to Analyze Quarterly Data with Various Industry Profiles. Journal of Forensic Accounting 6(2), 293-316. |
 |
|
|
|
| (2005) | Jolissaint, P. Loi de Benford, relations de récurrence et suites équidistribuées. Elem. Math. 60, 10-18. |
 |
|
|
|
| (2005) | Kontorovich, AV and Miller, SJ. Benford's Law, Values of L-functions and the 3x+ 1 Problem. Acta Arithmetica 120(3), 269-297. ISSN:0065-1036. |
 |
|
|
|
| (2005) | Kozlov, VV. Weighted averages, uniform distribution, and strict ergodicity. Russian Mathematical Surveys 60(6), 1121-1146. ISSN:0036-0279. |
 |
|
|
|
| (2005) | Krengel, U. Die Anfangszifferverteilung. pp 136-137 in: Einführung in die Wahrscheinlichkeitstheorie und Statistik, 8th ed,
Vieweg und Sohn, Wiesbaden. ISSN:ISBN 3-8348-0063-5. |
 |
|
|
|
| (2005) | Kulikova, AA and Prokhorov, YV. Completely asymmetric stable laws and Benford’s law. Theory of Probability and its Application 49(1), 163-169. |
 |
|
|
|
| (2005) | Lu, F and Boritz, JE. Detecting Fraud in Health Insurance Data: Learning to Model Incomplete Benford’s Law Distributions. Machine Learning: ECML 2005 (Proceedings). Lecture Notes in Artificial Intelligence 3270, 633-640. ISSN:0302-9743. |
 |
|
|
|
| (2005) | Lu, T, Costello, CM, Croucher, PJP, Häsler, R, Deuschl, G and Schreiber, S. Can Zipf's law be adapted to normalize microarrays?. BMC Bioinformatics 6, Art. No. 37. ISSN:1471-2105. |
 |
|
|
|
| (2005) | Mendez, PF and Ordonez, F. Scaling Laws From Statistical Data and Dimensional Analysis. J. Appl. Mech. - Transactions of the ASME 72(5), 648-657. ISSN:0021-8936. |
 |
|
|
|
| (2005) | Nigrini, MJ. An Assessment of the Change in the Incidence of Earnings Management Around the Enron-Andersen Episode. Review of Accounting and Finance 4, 92-110. |
 |
|
|
|
| (2005) | Petucci, SD. Benford’s Law: Can It Be Used to Detect Irregularities in First Party Automobile Insurance Claims?. Journal of Economic Crime Management 3(1). |
 |
|
|
|
| (2005) | Posch, PN. Ziffernanalyse in Theorie und Praxis. Testverfahren zur Fälschungsaufspürung mit Benfords Gesetz. Diploma thesis, Universität Bonn, Germany, 2003. Published by Shaker Verlag, Aachen. |
 |
|
|
|
| (2005) | Posch, PN and Kreiner, WA. A general approach to digital analysis exemplified by stock market indices. unpublished manuscript. |
 |
|
|
|
| (2005) | Radman, B. Benfordov zakon (Benford's Law). Hrvatski matematički elektronički časopis 5 (Electronic Croatian Mathematics Magazine). ISSN:ISSN 1334-6083. |
 |
|
|
|
| (2005) | Raftopoulou, P, Koubarakis, M, Stergiou, K and Triantafillou, P. Fair resource allocation in a simple multi-agent setting: search algorithms and experimental evaluation. International Journal on Artificial Intelligence Tools 14(6), 887-899. |
 |
|
|
|
| (2005) | Reed, R and Pence, D. Detecting Fraud in Financial Statements:
The Use of Digital Analysis as an Analytical
Review Procedure. Journal of Forensic Accounting 6, 135-146. |
 |
|
|
|
| (2005) | Rousseau, R. Robert Fairthorne and the empirical power laws. Journal of Documentation 61(2), 194-202. |
 |
|
|
|
| (2005) | Schräpler, JP and Wagner, GG. Characteristics and impact of faked interviews in surveys – An analysis of genuine fakes in the raw data of SOEP. Allgemeines Statistisches Archiv 89, 7-20. |
 |
|
|
|
| (2005) | Stadje, W. Asymptotic properties of digit sequences of random numbers. Mathematische Nachrichten 278(10), 1209-1229. |
 |
|
|
|
| (2005) | Tabachnikov, S. Geometry and Billiards. p 25 in: AMS Student Mathematical Library vol.30. |
 |
|
|
|
| (2005) | Taylor, J. Too many ties? An empirical analysis of the Venezuelan recall referendum counts. unpublished manuscript, Stanford University, USA. |
 |
|