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Odds Function and Odds Rate for Discrete Lifetime Distributions

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  • N. Unnikrishnan Nair
  • P. G. Sankaran

Abstract

There has been recent interest in studying the potential of odds function and odds rate in lifetime data analysis. In the present study, we define odds function and odds rate for discrete lifetime distributions. The relationships of these measures with other reliability concepts are discussed. We present the usual aging properties in terms of these measures. The comparison of various reliability concepts of two lifetimes by stochastic orders of their odds functions is investigated. Finally, we apply the proposed results to two real life data.

Suggested Citation

  • N. Unnikrishnan Nair & P. G. Sankaran, 2015. "Odds Function and Odds Rate for Discrete Lifetime Distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4185-4202, October.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:19:p:4185-4202
    DOI: 10.1080/03610926.2014.966838
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    1. P. G. Sankaran & N. Unnikrishnan Nair & Nidhi P. Ramesh, 2016. "Quantification of relative ageing in discrete time," METRON, Springer;Sapienza Università di Roma, vol. 74(3), pages 339-355, December.

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