DISCRETE XGAMMA DISTRIBUTIONS: PROPERTIES, ESTIMATION AND AN APPLICATION TO THE COLLECTIVE RISK MODEL

  • Sudhansu S. Maiti Department of Statistics, Visva-Bharati University, Santiniketan, India
  • Mithu Dey Department of Basic Sciences (Mathematics), Asansol Engineering College, Vivekananda Sarani, Kanyapur, India
  • Seema Sarkar (Mondal) Department of Mathematics, National Institute of Technology Durgapur, Burdwan, India
Keywords: Discrete Analogue Approach, Discrete Concentration Approach, Collective Risk Model, Heavy-Tailed Distribution, Reinsurance Premium

Abstract

In this paper, discrete versions of xgamma distribution [c.f. Sen et al., 2016] have been studied. Two discrete versions, namely discrete xgamma-I and discrete xgamma-II and their structural and reliability properties have been studied. Estimation procedures of the parameter of these discrete distributions have been mentioned. Compound discrete xgamma distributions in the context of collective risk model have been obtained in closed form. The new compound distributions have been compared with the classical compound Poisson, compound Negative binomial and compound discrete Lindley distributions regarding suitability of modelling extreme data with the help of some automobile claim

 

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Published
2018-04-30
Section
Articles