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On k-distorted generalized discrete family of distributions

Author

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  • D. T. Shirke
  • S. R. Supanekar
  • Deepesh Bhati

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.

Suggested Citation

  • D. T. Shirke & S. R. Supanekar & Deepesh Bhati, 2017. "On k-distorted generalized discrete family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(23), pages 11591-11603, December.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:23:p:11591-11603
    DOI: 10.1080/03610926.2016.1275697
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