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Some results on discrete mixture failure rates

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  • Ji Hwan Cha
  • Maxim Finkelstein

Abstract

Some properties of the discrete mixture failure rates are studied. Specifically, similar to the continuous case, it is shown that the population mixture failure rate is always smaller than the unconditional expectation in the family of subpopulations failure rates. The analog of the multiplicative and the additive frailty models is introduced via the corresponding survival function. Another approach via the alternative discrete failure rate is also discussed. Stochastic comparisons for two mixed distributions with equal and different mixing distributions are studied.

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  • Ji Hwan Cha & Maxim Finkelstein, 2019. "Some results on discrete mixture failure rates," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(15), pages 3884-3898, August.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:15:p:3884-3898
    DOI: 10.1080/03610926.2018.1482343
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    Cited by:

    1. Ye, Zhenggeng & Yang, Hui & Cai, Zhiqiang & Si, Shubin & Zhou, Fuli, 2021. "Performance evaluation of serial-parallel manufacturing systems based on the impact of heterogeneous feedstocks on machine degradation," Reliability Engineering and System Safety, Elsevier, vol. 207(C).

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