DISCRETE XGAMMA DISTRIBUTIONS: PROPERTIES, ESTIMATION AND AN APPLICATION TO THE COLLECTIVE RISK MODEL
Keywords:
Discrete Analogue Approach, Discrete Concentration Approach, Collective Risk Model, Heavy-Tailed Distribution, Reinsurance PremiumAbstract
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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