A new count data model applied in the analysis of vaccine adverse events and insurance claims

• Authors: Showkat Ahmad Dar , Anwar Hassan , Peer Bilal Ahmad , Sameer Ahmad Wani

Abstracts

EN

The article presents a new probability distribution, created by compounding the Poisson distribution with the weighted exponential distribution. Important mathematical and statistical properties of the distribution have been derived and discussed. The paper describes the proposed model's parameter estimation, performed by means of the maximum likelihood method. Finally, real data sets are analyzed to verify the suitability of the proposed distribution in modeling count data sets representing vaccine adverse events and insurance claims.

Keywords

EN

poisson distribution; weighted exponential distribution; compound distribution; count data; maximum likelihood estimation

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2021
• Volume: 22
• Issue: 3
• Pages: 157-174

Contributors

author

Showkat Ahmad Dar

• Department of Statistics, University of Kashmir, Srinagar (J&K), India

• https://orcid.org/000000023661822X

author

Anwar Hassan

• Department of Statistics, University of Kashmir, Srinagar (J&K), India

author

Peer Bilal Ahmad

• Department of Mathematical Sciences, Islamic University of Science & Technology, Awantipora, Pulwama (J&K), India

author

Sameer Ahmad Wani

• Department of Statistics, University of Kashmir, Srinagar (J&K), India

Identifiers

DOI

10.21307/stattrans-2021-032

Biblioteka Nauki

1827552