VIEW CHRONOLOGICAL

(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 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 Distribtuions (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 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 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 and Goodman, R, 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 and Scott, DS, Iyengar, SS, Yellayi, M New structural properties of strings generated by leading digits of 2^N. 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 and Rauzy, G, 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 Antonioni, 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 F_n and L_n 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)

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