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

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics, Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 22 , ISSUE 3 (September 2021) > List of articles

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

Showkat Ahmad Dar * / Anwar Hassan / Ahmad Para Bilal / Sameer Ahmad Wani

Keywords : poisson distribution, weighted exponential distribution, compound distribution, count data, maximum likelihood estimation

Citation Information : Statistics in Transition New Series. Volume 22, Issue 3, Pages 157-174, DOI: https://doi.org/10.21307/stattrans-2021-032

License : (CC BY-NC-ND 4.0)

Received Date : 24-February-2020 / Accepted: 07-October-2020 / Published Online: 05-September-2021

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ABSTRACT

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.

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