Modul 45

Places of interest near Benford`s Law  |  Module

Literatur

../beil2.gif


[ 1] Weisstein, E.W. CRC Concise Encyclopedia of Mathematics. Boca Raton, London, New York, Washington 1999, pp. 107-108, 12 Ref.
[ 2] Weisstein, E.W. Benford`s Law. mathworld.wolfram.com/BenfordsLaw.html 23 Ref.
[ 3] Bogomolny, A. Benford`s Law and Zipf`s Law. www.cut-the-knot.com/do_you_know/zipfLaw.html
[ 4] Benford`s Law. www.mathpages.com/home/kmath302/kmath302.htm
[ 5] Geometrical interpretation and generation of Benford sets. A new approach to Benford`s Law. www.geocities.com/timeparadox/elmushi.htm
[ 6] Hayward, J. The first Digit Law. A Statistical Derivation of Benford`s Law. www.doc.ic.ac.uk/~srueger/pr-suprema-1999/Justin-Hayward/main-page.html
[ 7] Mörters, P. Benfords Gesetz über die Verteilung der Ziffern. www.bath.ac.uk/~maspm/benford.ps
[ 8] Nigrini, M.J. Digital Analysis Using Benford`s Law: Test Statistics for Auditors. Vancouver 2001
[ 9] Knuth, D.E. The Art of Computer Programming. Vol. 2 Reading,.., Mexico City 1998, pp. 253-264
[10] Albrecht, J. Die Eins vom Planeten Zob – Ein bizarres mathematisches Gesetz über die Häufigkeit von Zahlen hilft, Steuersündern und Spendengaunern auf die Spur zu kommen. www.mathematik.uni-karlsruhe.de/Presse/eins_bearb.html
[11] Browne, M.W. Following Benford`s Law, or Looking Out for No. 1. www.math.yourku.ca/Who/Faculty/Brettler/bc_98/benford.html
[12] Knott, R. The Mathematics of the Fibonacci Series. www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibmaths.html
[13] Caldwell, C.K. Does Benford`s Law apply to prime numbers? www.utm.edu/research/primes/notes/faq/BenfordsLaw.html
[14] Lombardi, G. Benford`s Law. mrcla.com/Benford/Benford-pres/index.htm
[15] Maney, K. Baffled by math? www.usatoday.com/life/cyber/ccarch/cckov050.htm
[16] Stanek, S.: Applying Benford`s Law to internal audit. ww3.knowledgespace.com/HI/6C7F272B1A1A1975062569190054D7E0.htm
[17] Understanding Benford`s Law. www.auditsoftware.net/infoarchive/articles/benford/benfordact.pdf
[18] Berton, L. He`s Got Their Number: Scholar Uses Math to Foil Financial Frand. The Wall Street Journal, July 10, 1995, p. Bd
[19] Nigrini, M.J. The peculiar patterns of first digit. Their effective use in engineering business management. IEEE Potentials April/May 1999, pp. 24-27, 10 Ref.
[20] Nigrini, M.J. I`ve Got Your Number. www.aicpa.org/pubs/jofa/may1999/nigrini.htm
[21] Zmija, M. Digitale Ziffernanalyse. www.zmija.de/ziffernanalyse.htm
[22] Weaver, R.L.; Lobkis, O.I. Ultrasonic without a Source: Thermal Fluctuation Correlations at MHz Frequencies. Physical Review Letters 87(2001),134301
[23] The Institute of Internal Auditors. Financial Investigation Using Data Analysis Technology. www.theiia.org/iia/seminardetails.cfm?semID=95
[24] Benford`s Law Applied to Audit and Fraud Detection. www.acl.com/en/abouta/abouta_pressa_pres56.asp
[25] Benford`s Law Part 1 – How to Spot Tax Fraud. www.intuitor.com/statistics/Benford`s%20Law.html
[26] Benford`s Law Part 2 – The 80/20 Rule ord Pareto Principle. www.intuitor.com/statistics/Benford`s%20Law2.html
[27] Newcomb, S. Note on the frequency of use of the different digits. Amer. Journal Math. 4(1981), pp. 39-40
[28] Benford, F. The Law of Anomalous Numbers. Proc. of the American Philosophical Society 78(1938), pp. 551-571
[29] Pinkham, R. On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(1961), pp. 1223-1230
[30] Finch, S. MathSoft Constants. www.mathcad.com/library/constants/index.htm
[31] Plouffe, S. Tables of Constants. www.lacim.uqam.ca/pi/table.html
[32] Delahaye, J.-P. p - die Story. Basel, Boston, Berlin 1999. Kapitel 10
[33] Schatte, P. On Mantissa Distributions in Computing and Benford`s Law. J. Inf. Process. Cybern. EIK 24(1988)9, pp. 443-455, 62 Ref.
[34] Schatte, P. On Measures of Uniformly Distributed Sequences and Benford`s Law. Monatsh. Math. 107(1989), pp. 245-256
[35] Hill, T.P. Base-invariance Implies Benford's Law. Amer. Math. Soc. 123(1995), pp. 887-895
[36] Hill, T.P. A statistical Derivation of the Significant-digit Law. Statistical Science 10(1996), pp. 354-363
[37] Schatte, P. On Benford's Law to Variable Base. Stat. & Probab. Letters 37(1998), pp. 391-397


Die Module | Places of interest near Benford`s Law