Details

Autor(en) / Beteiligte

• Kulikova, A. A.
• Prokhorov, Yu. V.

Titel

Completely Asymmetric Stable Laws and Benford's Law

Ist Teil von

• Theory of probability and its applications, 2005, Vol.49 (1), p.163-169

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

2005

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Let $Y$ be a random variable with a completely asymmetric stable law and parameter $\alpha$. This paper proves that a probability distribution of a fractional part of the logarithm of $Y$ with respect to any base larger than 1 converges to the uniform distribution on the interval $[0,1]$ for $\alpha\to 0$. This implies that the distribution of the first significant digit of $Y$ for small $\alpha$ can be approximately described by the Benford law.