| Ralph A. Raimi, \The peculiar distribution of rst digits," Scientic American, 221(6), 109-115 (December 1969). |
....due to the choice of the rank as the independent variable. Actually, besides the cardinal number and the ordinal number, one can also use the third representation of the same frequency distribution: the distribution on certain position of the digit, as related to the notorious rst digit problem [6]. The transformation among the three representations is summarized by Gell Mann [7] Equations (13) also explains why the exponent in Zipf s law is close to 1, simply because log(M 1) log(M) when M is large. As we have seen, even for the worse case of having two symbols (M = 2) the estimated ....
Ralph A. Raimi, \The peculiar distribution of rst digits," Scientic American, 221(6), 109-115 (December 1969).
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