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A generalized Benford law and its application. (English) Zbl 1045.62010
The author computes the distribution of the first digit of a random variable whose distribution is a special two-sided power distribution. It is recognized that the distribution obtained is a parametric extension of Benford’s law. Statistical tests are performed to fit the first digits of several well known integer sequences to the new distribution.

MSC:
62E15 Exact distribution theory in statistics
65C60 Computational problems in statistics (MSC2010)
62E17 Approximations to statistical distributions (nonasymptotic)
11B83 Special sequences and polynomials
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
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