Benford Online Bibliography

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Abumrad, J and Krulwich, R (2009). From Benford to Erdős. WNYC Radiolab, 9 October.
Adhikari, AK (1969). Some Results on Distribution of Most Significant Digit. Sankhya-The Indian Journal of Statistics Series B, 31 (Dec), 413-420. ISSN:0581-5738.
Adhikari, AK and Sarkar, BP (1968). 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.
Aggarwal, R and Lucey, BM (2007). Psychological barriers in gold prices?. Review of Financial Economics 16, 217–230.
Al-Marzouki, S, Evans, S, Marshall, T and Roberts and I (2005). Are these data real? Statistical methods for the detection of data fabrication in clinical trials. Brit. Med. J 331, 267-270.
Albers, DJ (1995). Professor of ~~Magic~~ Mathematics. Math Horizons (Feb), 11-15.
Albrecht, CC, Albrecht, WS and Dunn, JG (2000). Conducting a Pro-Active Fraud Audit: A Case Study. The Journal of Forensic Accounting II: 203-218.
Albrecht, J (2000). Die Eins vom Planet Zob. Die Zeit, 28 September.
Albrecht, WS and Albrecht, CC (2002). Root out financial deception. Journal of Accountancy 193(4), 30-34.
Aldous, D and Phan, T (2009). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. Class project report, Statistics Department, UC Berkeley.
Aldous, D and Phan, T (2010). When Can One Test an Explanation? Compare and Contrast Benford's Law and the Fuzzy CLT. The American Statistician 64(3), 221–227.
Allaart, PC (1997). An invariant-sum characterization of Benford's law. Journal of Applied Probability 34, 288-291.
Altamirano, C and Robledo, A (2009). Generalized Thermodynamics underlying the laws of Zipf and Benford. pp 2232-2237 in: J. Zhou (ed.), Complex Sciences 2009, Part II, LNICST 5. ISSN:1867-8211.
Amershi, AH and Feroz, EH (2000). 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.
Anonymous (1998). Numerology for accountants. Journal of Accountancy 186(5), 15.
Arita, M (2005). Scale-freeness and biological networks. Journal of Biochemistry, 138 (1): 1-4. ISSN:0021-924X.
Armstrong, JS (2001). Extrapolation for time-series and cross-sectional data. In: Principles of Forecasting: a Handbook for Researchers and Practitioners. Kluwer Publishers.
Ashcraft, MH (1992). Cognitive arithmetic: A review of data and theory. Cognition 44 (Aug), 75-106.
Ashcraft, MH and Christy, KS (1995). The Frequency of Arithmetic Facts in Elementary Texts: Addition and Multiplication in Grades 1-6. Journal for Research in Mathematics Education 26, 396-421.
Auffhammer, M and Carson, RT (2006). Offsetting Reductions From Kyoto And Then Some: Forecasts of China’s CO₂ Emissions Using Province Level Data. Draft 7 Sep 2006.
Auffhammer, M and Carson, RT (2008). Forecasting the path of China's CO₂ emissions using province-level information. J. Environ. Econ. Manage. 55(3), 229-247. ISSN:0095-0696.
Bach, A (2006). Wenn sich Zahlen an Gesetze halten .../ Auf Verbrecherjagd mit Benford. Quarks & Co, WDR science broadcast, 17 October 2006.
Baer, MB (2006). Rényi to Rényi - Source Coding under Siege. (accepted to ISIT 2006).
Baer, MB (2006). Prefix coding under Siege. (submitted to IEEE Trans. Inform. Theory).
Baer, MB (2007). Reserved-Length Prefix Coding. (submitted to ISIT 2008).
Baer, MB (2007). Bounds on Generalized Huffman Codes.
Bailly, N (2006). Prominence trend in maximum lengths recorded for fishes: a preliminary analysis. pp 12-17 in: Palomares, MLD, Stergiou, KI, and Pauly, D (eds.), Fishes in databases and ecosystems. Proceedings of the 2006 FishBase Symposium. Fisheries Centre Research Reports, 2006, Vol. 14, No. 4. ISSN:1198-6727.
Baiocchi, G (2004). Using Perl for Statistics: Data Processing and Statistical Computing. Journal of Statistical Software, 2004 , Vol. 11, Issue 1.
Baird, JC (1975). Psychophysical study of numbers: V. Preferred State Theory of Matching Functions. Psychological Research 38 (Jun), 189-207.
Baird, JC (1975). Psychophysical study of numbers: IV. Generalized Preferred State Theory. Psychological Research 38 (Jun), 175-187.
Baird, JC and Noma, E (1975). Psychophysical study of numbers: I. Generation of numerical responses. Psychological Research 37 (Dec), 281-297.
Balanzario, EP and Sánchez-Ortiz, J (2010). Sufficient conditions for Benford’s law. Statistics & Probability Letters 80(23-24), 1713-1719.
Banks, WP and Hill, DK (1974). The Apparent Magnitude of Number Scaled by Random Production. Journal of Experimental Psychology 102 (2), 353-376. ISSN:0022-1015.
Barlow, JL and Bareiss, EH (1985). On Roundoff Error Distributions in Floating Point and Logarithmic Arithmetic. Computing 34(4), 325-347. ISSN:0010-485X.
Barnard, PJ, Scott, SK and May, J (2001). 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.
Battersby, S (2009). Statistics hint at fraud in Iranian election. New Scientist 24 June.
Bauer, J and Gross, J (2011). Difficulties Detecting Fraud? The Use of Benford’s Law on Regression Tables. Journal of Economics and Statistics (Jahrbücher für Nationalökonomie und Statistik) 231(5-6), 733-748.
Beber, B and Scacco, A (2009). The Devil is in the Digits. Washington Post, 20 June.
Becker, PW (1982). 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.
Becker, TJ (2000). Sorry, Wrong Number. Century-old math rule ferrets out modern-day digital deception. Research Horizons, Fall 2000, Georgia Tech.
Beeli, G, Esslen, M and Jäncke, L (2007). Frequency Correlates in Grapheme-Color Synaesthesia. Psychological Science, 18(9), 788-792. ISSN:0956-7976.
Beer, TW (2009). Terminal digit preference: beware of Benford's law. Journal of Clinical Pathology 62(2), 192.
Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society 78, 551-572.
Bensmail, H and Haoudi, A (2003). Postgenomics: Proteomics and Bioinformatics in Cancer Research. Journal of Biomedicine and Biotechnology (4), 217-230. ISSN:1110-7243.
Berger, A (2001). Chaos and Chance. De Gruyter, Berlin and New York.
Berger, A (2004). 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.
Berger, A (2005). Benford’s Law in power-like dynamical systems. Stoch. Dyn. 5, 587-607. ISSN:0219-4937.
Berger, A (2005). Multi-dimensional dynamical systems and Benford's law. Discrete and Continuous Dynamical Systems 13(1), 219-237. ISSN:1078-0947.
Berger, A (2011). Some dynamical properties of Benford sequences. Journal of Difference Equations and Applications 17(2), 137-159.
Berger, A, Bunimovich, LA and Hill, TP (2005). One-dimensional dynamical systems and Benford's law. Transactions of the American Mathematical Society 357(1), 197-219. ISSN:0002-9947.
Berger, A and Hill, TP (2006). A characterisation of Newton maps. ANZIAM J. 48, 211-223.
Berger, A and Hill, TP (2007). Newton’s method obeys Benford’s law. American Mathematical Monthly 114 (7), 588-601. ISSN:0002-9890.
Berger, A and Hill, TP (2010). Fundamental Flaws in Feller’s Classical Derivation of Benford’s Law. University of Alberta preprint.
Berger, A and Hill, TP (2011). Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem. The Mathematical Intelligencer 33(1), 85-91.
Berger, A and Hill, TP (2011). A basic theory of Benford's Law . Probability Surveys 8, 1-126 (2011) .
Berger, A, Hill, TP, Kaynar, B and Ridder, A (2010). Finite-state Markov Chains Obey Benford's Law. SIAM Journal of Matrix Analysis and Applications 32(3), 665-684.
Berger, A, Hill, TP and Morrison, KE (2008). Scale-Distortion Inequalities for Mantissas of Finite Data Sets. Journal of Theoretical Probability 21(1), 97-117. ISSN:0894-9840.
Berger, A and Siegmund, S (2007). On the distribution of mantissae in nonautonomous difference equations. Journal of Difference Equations and Applications 13(8-9), 829-845. ISSN:1023-6198.
Berleant, D, Cheong, MP, Chu,C, Guan,Y, Kamal,A, Shedble, G, Ferson,S and Peters, JF (2003). Dependable Handling of Uncertainty. Reliable Computing 9(6), 407-418. ISSN:1385-3139.
Berton, L (1995). He’s Got Their Number: Scholar Uses Math to Foil Financial Fraud. The Wall Street Journal, pg B1, July 10.
Bhattacharya, P, Chatterjee, A and Chakrabarti, BK (2005). A common mode of origin of the power law distributions in models of market and earthquake. http://arxiv.org/abs/physics/0510038.
Bhattacharya, S (2002). From Kautilya to Benford – Trends in Forensic and Investigative Accounting. 9th World Congress of Accounting Historians, Deakin University.
Bhattacharya, S, Kumar, K and Smarandache, F (2005). Conditional probability of actually detecting a financial fraud – a neutrosophic extension to Benford’s law. International Journal of Applied Mathematics 17(1), 7-14.
Bialik, C (2009). Rise and Flaw of Internet's Election-Fraud Hunters. The Wall Street Journal, 1 July.
Block, HW and Savits, TH (2010). A General Example for Benford Data. The American Statistician 64(4), 335-339.
Blum, W (2007). Die Nummer eins im Alltag. Süddeutsche Zeitung, May 23.
Bogomolny, A (2004). Benford’s Law and Zipf's Law.
Bolton, RJ and Hand, DJ (2002). Statistical Fraud Detection: a review. Statistical Science 17(3), 235-249.
Bonache, A, Moris, K and Maurice, J (2009). Risque associé à l'utilisation de la loi de Benford pour détecter les fraudes dans le secteur de la mode. Munich Personal RePEc Archive (MPRA) Paper No. 15352, posted 26 May 2009.
Bonache, AB, Moris, K and Maurice, J (2010). Détection de fraudes et loi de Benford: Quelques risques associés. Revue Française de Comptabilité n°431, 24-27.
Boring, EG (1920). The logic of the normal law of error in mental measurement. American Journal of Psychology 31, 1-33. ISSN:0002-9556.
Bourke, N and van Peursem, K (2004). Detecting fraudulent financial reporting: teaching the 'watchdog' new tricks. Working paper 79, University of Waikato. ISSN:1173-7182.
Boyle, J (1994). An Application of Fourier Series to the Most Significant Digit Problem. American Mathematical Monthly 101(9), 879-886. ISSN:0002-9890.
Bradley, JR and Farnsworth, DL (2009). What is Benford's Law?. Teaching Statistics 31(1), 2-6.
Brady, WG (1978). More on Benford’s law. Fibonacci Quarterly 16, 51-52.
Brooks, D (2002). 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.
Brown, JR and Duncan, RL (1970). Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences. Fibonacci Quarterly 8, 482-486. ISSN:0015-0517.
Brown, P, Chua, A and Mitchell, J (2002). The influence of cultural factors on price clustering: Evidence from Asia–Pacific stock markets. Pacific-Basin Finance Journal, 10(3), 307-332.
Brown, P and Mitchell, J (2008). Culture and stock price clustering: evidence from the peoples’ republic of China. Pacific-Basin Finance Journal 16(1), 95-120 . ISSN:0927-538X.
Brown, RJC (2005). 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.
Brown, RJC (2007). The use of Zipf's law in the screening of analytical data: a step beyond Benford. Analyst 132(4), 344-349. ISSN:0003-2654.
Browne, MW (1998). Following Benford’s law, or looking out for no. 1. The New York Times, August 4, 1998.
Brunell, TL and Glazer, A (2001). 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.
Buck, B, Merchant, AC and Perez, SM (1993). An illustration of Benford’s first digit law using alpha decay half lives. European Journal of Physics 14, 59-63.
Bumby, R and Ellentuck, E (1969). Finitely additive measures and the first digit problem. Fundamenta Mathematicae 65, 33-42.
Burke, J and Kincanon, E (1991). Benford Law and Physical Constants - The Distribution of Initial Digits. American Journal of Physics 59 (10), 952. ISSN:0002-9505.
Burns, B (2009). Sensitivity to statistical regularities: People (largely) follow Benford’s law. pp 2872-2877 in: Proceedings of CogSci 2009, Amsterdam, The Netherlands.
Busta, B and Sundheim, R (1992). Tax return numbers tend to obey Benford's law. Center for Business Research Working Paper No. W93-106-94, St. Cloud State University, Minnesota.
Busta, B and Sundheim, R (1992). 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.
Busta, B and Weinberg, R (1998). Using Benford’s law and neural networks as a review procedure. Managerial Auditing Journal 13(6), 356-366.
Bustoz, J, Feldstein, A, Goodman, R and Linnainmaa, S (1979). Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic. Journal of the Association for Computing Machinery 26(4), 716-730. ISSN:0004-5411.
Buyse, M, George, SL and et al. (1999). 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.
Byalko, AV (1991). Statistics of Coefficients in Physical Formulas. Theoretical and Mathematical Physics 88(1), 782-787. ISSN:0040-5779.
Cáceres, JLH, García, JLP and et al. (2008). First digit distribution in some biological data sets. Possible explanations for departures from Benford's Law. Electronic J Biomed 1, 27-35.
Caldwell, CC (2008). Does Benford's law apply to prime numbers?. The Prime Pages.
Candeloro, D (1998). Some remarks on the first digit problem. Atti Sem. Mat. Fis. Univ. Modena 46 (1998), suppl., 511-532.
Canessa, E (2003). Theory of analogous force on number sets. Physica A 328, 44-52.
Carslaw, CAPN (1988). Anomalies in Income Numbers: Evidence of Goal Oriented Behavior. The Accounting Review 63, No. 2, 321-327.
Cartlidge,E (2010). In nature, number one dominates . Institute of Physics, Enviornmental Research Letters Oct 25, 2010.
Casey, MC (2004). Integrated Learning in Multi-net Systems. University of Surrey Ph.D. Thesis submitted Feb 2004.
Caster, P, Mittag, B and Scherga, C (2003). Application of Digital Analysis To Assess the Quality and Usability of the ATA Database. Journal of Forensic Accounting 4, 95-104.
Chaitin-Chatelin, F (1994). Le calcul sur ordinateur a precision finie. Theorie et etat de l’art. CERFACS REPORT TR/PA/94/05.
Chaitin-Chatelin, F (1995). Le calcul qualitatif. Comment donner un sens a des resultats faux?. CERFACS REPORT TR/PA/95/10.
Chaitin-Chatelin, F (1996). Is finite precision arithmetic useful for physics?. Journal of Universal Computer Science 2(5), 380-395.
Chaitin-Chatelin, F and Frayssé, V (1996). Lectures on Finite Precision Computations. SIAM.
Chiverton, J and Wells, K (2006). Mixture effects in FIR low-pass filtered signals. IEEE Signal Processing Letters 13(6), 369-372. ISSN:1070-9908.
Cho, MJ, Eltinge, JL and Swanson, D (2003). Inferential methods to identify possible interviewer fraud using leading digit preference patterns and design effect matrices. Proceedings of the American Statistical Association.
Cho, WKT and Gaines, BJ (2007). Breaking the (Benford) law: Statistical fraud detection in campaign finance. American Statistician 61(3), 218-223. ISSN:0003-1305.
Chou, MC, Kong, Q, Teo, CP, Wang, Z and Zheng, H (2009). Benford's Law and Number Selection in Fixed-Odds Numbers Game. Journal of Gambling Studies.
Christensen, JA and Byington, JR (2003). The computer: an essential fraud detection tool. Journal of Corporate Accounting & Finance 14(5), 23-27.
Christian, CW and Gupta, S (1993). New evidence on "Secondary Evasion". The Journal of the American Taxation Association 15, 72-93.
Cigler, J (1964). Methods of summability and uniform distribution mod 1. Compositio Mathematica 16, 44-51.
Cigler, J and Helmberg, G (1961). Neuere Entwicklungen der Theorie der Gleichverteilung. Jahresbericht der Deutschen Mathematiker Vereinigung 64, 1-50.
Ciofalo, M (2009). Entropy, Benford’s first digit law, and the distribution of everything. Dipartimento di Ingegneria Nucleare, Università degli Studi di Palermo, Italy.
Cleary, R and Thibodeau, JC (2005). 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.
Clenshaw, CV, Olver, FWJ and Turner, PR (1989). Level-Index Arithmetic - An Introductory Survey. Lecture Notes in Mathematics 1397, pp 95-168. ISSN:0075-8434.
Cockshott, WP, McGregor, D and Wilson, J (1998). High-Performance Operations Using a Compressed Database Architecture. The Computer Journal 41(5), 283-296. ISSN:0010-4620.
Coderre, D. (1999). Fraud Detection: Using Data Analysis Techniques to Detect Fraud. Global Audit Publications, ACL, Vancouver, Canada.
Cohen, DIA (1976). An Explanation of the First Digit Phenomenon. Journal of Combinatorial Theory Series A 20(3), 367-370. ISSN:0097-3165.
Cohen, DIA and Katz, TM (1984). Prime Numbers and the First Digit Phenomenon. Journal of Number Theory 18(3), 261-268. ISSN:0022-314X.
Corazza, M, Ellero, A and Zorzi, A (2008). What sequences obey Benford's law?. Working Paper n. 185/2008, November 2008, Department of Applied Mathematics, University of Venice. ISSN:1828-6887.
Corazza, M, Ellero, A and Zorzi, A (2010). Checking financial markets via Benford's law: the S&P 500 case. pp 93-102 in: Corazza, M and Pizzi, C (Eds.): Mathematical and Statistical Methods for Actuarial Sciences and Finance, Springer.
Costas, E, López-Rodas, V, Toro, FJ and Flores-Moya, A (2008). The number of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law. Aquatic Botany 89(3), 341-343.
Courtland, R (2010). Curious mathematical law is rife in nature. Issue 2782, New Scientist, 14 October.
Craig, TR (1992). Round-off bias in earnings-per-share calculations. Journal of Applied Business Research 8 (4), 106-113.
Das, S and Zhang, H (2001). The stock market’s under-reaction to rounding-up in EPS. Preprint.
Das, S and Zhang, H (2003). Rounding-up in reported EPS, behavioral thresholds, and earnings management. Journal of Accounting & Economics 35(1), 31-50. ISSN:0165-4101.
Davis, B (1976). Some Remarks on Initial Digits. Fibonacci Quarterly 14(1), 13-14. ISSN:0015-0517.
Davis, BS and Davis, TA (1989). Fibonacci numbers and the golden mean in nature. The Mathematical Scientist 14, 89-100.
De Ceuster, MJK, Dhaene, G and Schatteman, T (1998). On the hypothesis of psychological barriers in stock markets and Benford’s law. Journal of Empirical Finance 5(3), 263-279.
De Marchi, S and Hamilton, JT (2006). Assessing the accuracy of self-reported data: An evaluation of the toxics release inventory. Journal of Risk and Uncertainty 32(1), 57-76. ISSN:0895-5646.
Deakin, MAB (1993). Another derivation of Benford’s law. Australian Mathematical Society Gazette 20, 162-163.
Deckert, J, Myagkov, M and Ordeshook, PC (2011). Benford's Law and the Detection of Election Fraud. Political Analysis 19(3), 245-268.
Dehaene, S and Mehler, J (1992). Cross-Linguistic Regularities in the Frequency of Number Words. Cognition 43(1), 1-29. ISSN:0010-0277.
Del Acebo, E and Sbert, M (2005). Benford's Law for Natural and Synthetic Images. Computational Aesthetics in Graphics, Visualization and Imaging 2005, pp. 169-176. ISSN:1816-0859.
Diaconis, P (1977). The Distribution of Leading Digits and Uniform Distribution Mod 1. Annals of Probability 5(1), 72-81. ISSN:0091-1798.
Diaconis, P (2002). G.H. Hardy and Probability ???. Bulletin of the London Mathematical Society 34, 385-402.
Diaconis, P and Freedman, D (1979). On Rounding Percentages. Journal of the American Statistical Association 74(366), 359-364. ISSN:0162-1459.
Dickinson, JR (2002). A universal mathematical law criterion for algorithmic validity. Developments in Business Simulation and Experiential Learning 29, 26-33.
Diekmann, A (2002). Sources of bias and quality of data in social science research. Institute of Technology Assessment (ITA) Working Paper No. ITA-02-04.
Diekmann, A (2007). Not the First Digit! Using Benford's Law to Detect Fraudulent Scientific Data. Journal of Applied Statistics 34(3), 321-329. ISSN:0266-4763.
Diekmann, A and Jann, B (2010). Benford’s Law and Fraud Detection: Facts and Legends. German Economic Review 11(3), 397–401.
Diniz, JA, dos Santos, J, Dieng, M and Diniz, MAA (2006). Comprovação de Eficácia da Aplicação de Modelos Contabilométricos no Campo daAuditoria Digital das Contas Públicas Municipais: caso de um Tribunal de Contas de um estado brasileiro.
Dlugosz, S (2004). Digitalanalyse als Ansatz zur Betrugserkennung in Finanzdaten. Diploma thesis, Westfälische Wilhelms-Universität Münster, Germany.
Dlugosz, S and Müller-Funk, U (2009). The value of the last digit: statistical fraud detection with digit analysis. Advances in Data Analysis and Classification 3, 281-290.
Docampo, S, del Mar Trigo, M, Aira, M, Cabezudo, B and Flores-Moya, A (2009). Benford’s law applied to aerobiological data and its potential as a quality control tool . Aerobiologia 25, 275-283 . ISSN:0393-5965.
Dominguez, MP and Burguillo, JDA (1999). El primer digito significativo. Revista Epsilon de la S.A.E.M. "Thales", 45 (15/3), 339-352.
Dorfleitner, G and Klein, C (2009). Psychological barriers in European stock markets: Where are they?. Global Finance Journal 19(3), 268-285.
Dorogovtsev, SN, Mendes, JFF and Oliveira, JG (2006). Frequency of occurrence of numbers in the World Wide Web. Physica A: Statistical Mechanics and its Applications 360(2), 548-556. ISSN:0378-4371.
Dorrestijn, J (2008). Graphing conformity of distributions to Benford’s Law for various bases. MSc thesis, Universiteit Utrecht, The Netherlands.
Dos Santos, J, Diniz, JA and Corrar, LJ (2005). 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.
Doucouliagos, C (2004). Number preference in Australian stocks. Applied Financial Economics 14(1), 43-54.
Doucouliagos, C (2005). Price exhaustion and number preference: time and price confluence in Australian stock prices. The European Journal of Finance 11(3), 207-222.
Drake, PD and Nigrini, MJ (2000). Computer assisted analytical procedures using Benford’s law. Journal of Accounting Education 18, 127-146.
Drmota, M and Tichy, RF (1997). Sequences, Discrepancies and Applications. Lecture Notes in Mathematics 1651.
Dumas, CF and Devine, JH (2000). 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.
Dümbgen, L and Leuenberger, C (2008). Explicit Bounds for the Approximation Error in Benford’s Law. Electronic Communications in Probability 13, 99-112. ISSN:1083-589X.
Duncan, RL (1967). An application of uniform distributions to the Fibonacci numbers. Fibonacci Quarterly 5, 137-140.
Duncan, RL (1969). Note on the initial digit problem. Fibonacci Quarterly 7(5), 474-475.
Duran, JP (1974). Almost convergence, summability and ergodicity. Canadian Journal of Mathematics 26(2), 372-387.
Durrett, R (1996). Probability: Theory and Examples (2nd ed). p 301.
Durtschi, C, Hillison, W and Pacini, C (2004). 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.
Dworschak, M (1998). Weiter Weg zur Zwei. pp 228-229 in: Der Spiegel 47, 16 November.
El Sehity, T, Hoelzl, E and Kirchler, E (2005). 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.
Engel, HA and Leuenberger, C (2003). Benford's law for exponential random variables. Statistics & Probability Letters 63, 361-365. ISSN:0167-7152.
Ettredge, ML and Srivastava, RP (1999). Using digital analysis to enhance data integrity. Issues in Accounting Education 14(4), 675-690.
Fairthorne, RA (1969). 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.
Farkas, J and Gyürky, G (2010). The significance of using the Newcomb-Benford law as a test of nuclear half-life calculations. Acta Physica Polonica B 41, 1213-1221. ISSN:PL 0587-4254.
Farnsworth, DF, Horan, KK and Galgon, RM (2007). A guide to Benford's law. Mathematics and Computer Education 41, 230-243. ISSN:ISSN: 0730-8639.
Favaretto, F (2007). Verificacao da qualidade de dados atraves da lei de Benford. XXVII Brazilian National Conference on Engineering, October 2007.
Feldstein, A and Goodman, R (1976). Convergence Estimates for Distribution of Trailing Digits. Journal of the Association for Computing Machinery, 23(2), 287-297. ISSN:0004-5411.
Feldstein, A and Turner, P (1986). Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction. IMA Journal of Numerical Analysis 6, 241-251.
Feldstein, A and Turner, PR (1996). Overflow and underflow in multiplication and division. Applied Numerical Mathematics 21(3), 221-239. ISSN:0168-9274.
Feldstein, A and Turner, PR (2006). Gradual and tapered overflow and underflow: A functional differential equation and its approximation. Applied Numerical Mathematics 56(3-4), 517-532. ISSN:0168-9274.
Feller, W (1971). An Introduction to Probability Theory and Its Applications. p 63, vol 2, 2nd ed. J. Wiley.
Fewster, RM (2009). A simple Explanation of Benford's Law. American Statistician 63(1), 20-25.
Filipponi, P (1994). F_n and L_n cannot have the same initial digit. Pi Mu Epsilon Journal 10.1, 5-6.
Filipponi, P and Menicocci, R (1995). Some Probabilistic Aspects of the Terminal Digits of Fibonacci Numbers. Fibonacci Quarterly 33(4), 325-331. ISSN:0015-0517.
Flam, F (2000). Math formula could help spot tax cheats. The Pittsburg Post-Gazette, 19 April.
Flehinger, BJ (1966). On the Probability that a Random Integer has Initial Digit A. American Mathematical Monthly 73(10), 1056-1061. ISSN:0002-9890.
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