×

An explanation of the first digit phenomenon. (English) Zbl 0336.10052


MSC:

11B83 Special sequences and polynomials
11A63 Radix representation; digital problems
65C10 Random number generation in numerical analysis
Full Text: DOI

References:

[1] Benford, F., The law of anomalous numbers, (Proc. Amer. Philos. Soc., 78 (1938)), 551-572 · Zbl 0018.26502
[2] P. Diaconis; P. Diaconis
[3] Flehinger, B. J., On the probability that a random integer has initial digit \(A\), Amer. Math. Monthly, 73, 1056-1061 (1966) · Zbl 0147.17502
[4] Hamming, R. W., On the distribution of numbers, Bell System Tech. J., 49, 1609-1625 (1970) · Zbl 0211.46701
[5] Knuth, D., (The Art of Computer Programming, Vol. 2 (1971), Addison-Wesley: Addison-Wesley Reading, Mass), 218-229
[6] Necomb, S., On the frequency of use of the different digits in natural numbers, Amer. J. Math., 4, 39-40 (1881) · JFM 13.0161.01
[7] Pinkham, R. S., On the distribution of first significant digits, Ann. Math. Statist., 32, 1223-1230 (1961) · Zbl 0102.14205
[8] Raimi, R. A., On the distribution of first significant digits, Amer. Math. Monthly, 342-348 (April 1969) · Zbl 0179.48701
[9] Raimi, R. A., The peculiar distribution of first digits, Scientific American, 109-120 (December 1969)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.