On k-distorted generalized discrete family of distributions. Issue 23 (2nd December 2017)

• Record Type: Journal Article
• Authors: Shirke, D. T.; Supanekar, S. R.; Bhati, Deepesh
• Is Part Of: Communications in statistics. Volume 46:Issue 23(2017)
• Page Start: 11591
• Page End: 11603
• Publication Date: 2017-12-02
• Subjects: Aggregate loss modeling -- k-distortion -- maximum likelihood function -- Poisson distribution -- zero distortion; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1275697
• Languages: English
• ISSNs: 0361-0926

Abstract

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.