Showkat Ahmad Dar https://orcid.org/0000-0002-3661-822X , Anwar Hassan , Peer Bilal Ahmad , Sameer Ahmad Wani
ARTICLE

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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.

KEYWORDS

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

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