The zero-and-plus/minus-one inflated extended-Poisson distribution

© 2023 Informa UK Limited, trading as Taylor & Francis Group.

Bibliographische Detailangaben
Veröffentlicht in:Journal of applied statistics. - 1991. - 51(2024), 11 vom: 18., Seite 2062-2089
1. Verfasser: Kachour, Maher (VerfasserIn)
Weitere Verfasser: Chesneau, Christophe
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2024
Zugriff auf das übergeordnete Werk:Journal of applied statistics
Schlagworte:Journal Article Zero-and-one-inflated Poisson distribution count data analysis discrete distribution defined on extended Poisson distribution simulation
Beschreibung
Zusammenfassung:© 2023 Informa UK Limited, trading as Taylor & Francis Group.
In this paper, we introduce a new distribution defined on Z , called the ZPMOIEP distribution, which can be viewed as a natural extension of the zero-and-one-inflated Poisson ( ZOIP ) distribution. It is designed to fit the count data with potentially excess zeros and/or ones, and/or minus ones. We explore its various properties and investigate the estimation of the unknown parameters. Moreover, simulation experiments are carried out to attest to the performance of the estimation. Through the use of a useful data set on football scores, the applicability of the proposed distribution is examined
Beschreibung:Date Revised 28.09.2024
published: Electronic-eCollection
Citation Status PubMed-not-MEDLINE
ISSN:0266-4763
DOI:10.1080/02664763.2023.2260570