Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 14, Issue 2


Published
on

February 28, 2019


Pages

27-32


DOI

Article

Chains of Truncated Beta Distributions and Benford’s Law

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Authors

Pongpol Ruankong Affiliation:
Department of Mathematics Faculty of Science Kasetsart University 50 Ngam Wong Wan Rd. Ladyaow, Chatuchak, Bangkok 10900 THAILAND
and Songkiat Sumetkijakan Affiliation:
Department of Mathematics and Computer Science Faculty of Science Chulalongkorn University 254 Phayathai Rd. Pathumwan, Bangkok 10330 THAILAND


Abstract

It was proved by Jang et al. that various chains of one-parameter distributions converge to Benford’s law. We study chains of truncated distribu- tions and propose another approach, using a recent convergence result of the Lerch transcendent function, to proving that they converge to Benford’s law for initial Beta distributions with parameters α and 1.


Keywords

Benford’s law, beta distribution.


Citation

Ruankong, P. & Sumetkijakan, S. (2019). Chains of truncated beta distributions and benford’s law. Uniform Distribution Theory, 14(2), 27–32. https://doi.org/10.2478/udt-2019-0011

Published by: Engineering Journals

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