Chains of Truncated Beta Distributions and Benford’s Law
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 distributions 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.
Language: English
Page range: 27 - 32
Submitted on: Apr 2, 2018
Accepted on: Feb 28, 2019
Published on: Mar 27, 2020
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2020 Pongpol Ruankong, Songkiat Sumetkijakan, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.