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Reliability study of proportional odds family of discrete distributions

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  • Pradip Kundu
  • Asok K. Nanda

Abstract

The proportional odds model gives a method of generating new family of distributions by adding a parameter, called tilt parameter, to expand an existing family of distributions. The new family of distributions so obtained is known as Marshall–Olkin family of distributions or Marshall–Olkin extended distributions. In this paper, we consider Marshall–Olkin family of distributions in discrete case with fixed tilt parameter. We study different ageing properties, as well as different stochastic orderings of this family of distributions. All the results of this paper are supported by several examples.

Suggested Citation

  • Pradip Kundu & Asok K. Nanda, 2018. "Reliability study of proportional odds family of discrete distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(5), pages 1091-1103, March.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:5:p:1091-1103
    DOI: 10.1080/03610926.2017.1316397
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