The Zero-Truncated Poisson-Weighted Exponential Distribution with Applications

Journal article

Authors/Editors

SUDCHAI BOONTO

Strategic Research Themes

Publication Details

Author list: Atikankul Y., Thongteeraparp A., Bodhisuwan W., Qin J., Boonto S.

Publication year: 2021

Volume number: 42

Issue number: 13

Start page: 3088

End page: 3097

Number of pages: 10

ISSN: 19950802

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127243397&doi=10.1134%2fS1995080222010048&partnerID=40&md5=f53269151792ffa62b9ddaa83323e52a

Languages: English-Great Britain (EN-GB)

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Abstract

Abstract: In this article, a new distribution family for non-zero count datais proposed. It is developed from the Poisson-weighted exponentialdistribution. Various theoretical properties of the proposeddistribution, such as the probability generating function, momentgenerating function, characteristic function, and moments arediscussed. The method of maximum likelihood is used to estimatethe parameters. Finally, some real data sets are applied to showthe performance of the proposed distribution. © 2021, Pleiades Publishing, Ltd.

Keywords

Poisson-weighted exponential distribution, zero-truncated distribution