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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
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References:
[1] Benford, F, The law of anomalous numbers, (), 551-572
[2] \scP. Diaconis, Limits of measures of the integers with application to random number generators and the distribution of leading digits, Memorandum NS-211, Department of Statistics, Harvard University.
[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, (), 218-229
[6] Necomb, S, On the frequency of use of the different digits in natural numbers, Amer. J. math., 4, 39-40, (1881)
[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)
[9] Raimi, R.A, The peculiar distribution of first digits, Scientific American, 109-120, (December 1969)
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