References
- Benford , F . The law of anomalous numbers . Proceedings of the American Philosophical Society . Vol. 78 , pp. 551 – 72 .
- Canessa , E . 2003 . Theory of analogous force in number sets . Physica A , 328 : 44 – 52 .
- Cohen , D . 1976 . An explanation of the first digit phenomenon . Journal of Combinatorial Theory , 20 : 367 – 70 .
- De Ceuster , MKJ , Dhaene , G and Schatteman , T . 1998 . On the hypothesis of psychological barriers in stock markets and Benford's Law . Journal of Empirical Finance , 5 : 263 – 79 .
- Durbin , J . 1973 . Distribution Theory for Tests Based on the Sample Distribution Function , Philadelphia, PA : SIAM .
- Fisher , NI . 1993 . Statistical Analysis of Circular Data , Cambridge : Cambridge University Press .
- Geyer , CL and Williamson , PP . 2004 . Detecting fraud in data sets using Benford's Law . Communications in Statistics B , 33 : 229 – 46 .
- Giles , DE . 2005 . Testing for a Santa Claus effect in business cycles . Economics Letters , 87 : 421 – 26 .
- Gottwald , GA and Nicol , M . 2002 . On the nature of Benford's Law . Physica A , 303 : 387 – 96 .
- Hill , TP . 1995 . A statistical derivation of the first digit phenomenon . Statistical Science , 10 : 354 – 63 .
- Kuiper , NH . 1959 . Alternative proof of a theorem of Birnhaum and Pyke . Annals of Mathematical Statistics , 30 : 251 – 2 .
- Ley , E . 1996 . On the peculiar distribution of the US stock indexes’ digits . American Statistician , 50 : 311 – 13 .
- Ley , E and Varian , H . 1994 . Are there psychological barriers in the Dow-Jones index? . Applied Financial Economics , 4 : 217 – 24 .
- Lucas , E . 1878 . The theory of simply periodic numerical functions . American Journal of Mathematics , 1 : 184 – 240 . 289–321
- McMinn , D . 2003 . Fibonacci–Lucas numbers and moon-sun cycles http://www.davidmcminn.com/pages/fiblucas.htm
- Newcomb , S . 1881 . Note on the frequency of use of the different digits in natural numbers . American Journal of Mathematics , 4 : 39 – 40 .
- Nigrini , M . 1996 . A taxpayer compliance application of Benford's Law . Journal of the American Taxation Association , 18 : 72 – 91 .
- Pietronero , L , Tosatti , E , Tosatti , V and Vespignani , A . 2001 . Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf . Physica A , 293 : 297 – 304 .
- Pinkham , RS . 1961 . On the distribution of first significant digits . Annals of Mathematical Statistics , 32 : 1223 – 30 .
- Raimi , RA . 1969 . The peculiar distribution of first digits . Scientific American , 23 : 109 – 19 .
- Raimi , RA . 1976 . The first digit problem . American Mathematical Monthly , 83 : 521 – 38 .
- Scott , LH . 2005 . Electrical equivalence of discrete cascaded T sections, electrical transmission lines and Fibonacci and Lucas numbers http://www.lhsorg.org/
- Stephens , MA . 1965 . The goodness-of-fit statistic, VN: Distribution and significance points . Biometrika , 52 : 309 – 21 .