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

Author

Listed:
  • Dar Showkat Ahmad

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

  • Hassan Anwar

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

  • Ahmad Peer Bilal

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

  • Wani Sameer Ahmad

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

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.

Suggested Citation

  • Dar Showkat Ahmad & Hassan Anwar & Ahmad Peer Bilal & Wani Sameer Ahmad, 2021. "A new count data model applied in the analysis of vaccine adverse events and insurance claims," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 157-174, September.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:3:p:157-174:n:1
    DOI: 10.21307/stattrans-2021-032
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    References listed on IDEAS

    as
    1. F. Bordbar & A. R. Nematollahi, 2016. "The modified exponential-geometric distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(1), pages 173-181, January.
    2. Hassan Bakouch, 2013. "R for statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(4), pages 924-924.
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