<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

Publié en ligne: 27 mars 2020

Pages: 27 - 32

Reçu: 02 avr. 2018

Accepté: 28 févr. 2019

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

Mots clés
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

Publié en ligne: 27 mars 2020

Pages: 27 - 32

Reçu: 02 avr. 2018

Accepté: 28 févr. 2019

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

Mots clésBenford’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.

Mots clés
Benford’s law, beta distribution