<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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 <italic>α</italic> and 1.</p></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.

Chains of Truncated Beta Distributions and Benford’s Law

Uniform distribution theory

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Chains of Truncated Beta Distributions and Benford\u2019s Law"}

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...

Chains of Truncated Beta Distributions and Benford’s Law

Published Online: Mar 27, 2020

Page range: 27 - 32

Received: Apr 02, 2018

Accepted: Feb 28, 2019

DOI: https://doi.org/10.2478/udt-2019-0011

Keywords
Benford’s law, beta distribution

© 2019 Pongpol Ruankong et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Chains of Truncated Beta Distributions and Benford’s Law

Published Online: Mar 27, 2020

Page range: 27 - 32

Received: Apr 02, 2018

Accepted: Feb 28, 2019

DOI: https://doi.org/10.2478/udt-2019-0011

KeywordsBenford’s law, beta distribution

© 2019 Pongpol Ruankong et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Benford’s law, beta distribution