On k-distorted generalized discrete family of distributions

D. T. Shirke, S. R. Supanekar and Deepesh Bhati

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 23, 11591-11603

Abstract: We propose a new generalized discrete family of distributions which permits inflation/deflation at any single point in the support of distribution. Using the same, a zero-distorted generalized discrete family of distributions is introduced and some of its properties are studied. As an illustration, we study in detail, zero-distorted generalized Poisson distribution. Real-life applications of this distribution using well-known data sets are reported, which include an actuarial application of the proposed model.

Date: 2017
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DOI: 10.1080/03610926.2016.1275697

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