Natural Discrete One Parameter Polynomial Exponential Family of Distributions and the Application

Sudhansu S. Maiti (), Molay Kumar Ruidas () and Sumanta Adhya ()
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Sudhansu S. Maiti: Visva-Bharati University
Molay Kumar Ruidas: Triveni Devi Bhalotia College
Sumanta Adhya: West Bengal State University

Annals of Data Science, 2024, vol. 11, issue 3, No 14, 1076 pages

Abstract: Abstract A new natural discrete version of the one-parameter polynomial exponential family of distributions called Natural Discrete One Parameter Polynomial Exponential (NDOPPE) distribution has been proposed and studied. Structural and reliability properties have been studied. The estimation procedure of the parameter of the distribution has been mentioned. Compound NDOPPE distribution in the context of the collective risk model in closed form has been obtained. The suitability of modelling extreme data using this compound distribution has been worked out with the help of some automobile claims. The fitted model is compared with the already available compound versions of classical Poisson, Negative binomial, discrete Lindley, xgamma-I and xgamma-II distributions.

Keywords: Collective risk model; Discrete analogue approach; Heavy-tailed distribution; Reinsurance premium; 60E05; 62E99 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-022-00422-8

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