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Further results involving percentile inactivity time order and its inference

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  • Mervat Mahdy

Abstract

This paper studies a family of stochastic orders of random variables defined via the comparison of their percentile inactivity time functions. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are also studied. The estimator of the percentile inactivity time is introduced. Finally, some applications in reliability theory and finance are described. Copyright Sapienza Università di Roma 2014

Suggested Citation

  • Mervat Mahdy, 2014. "Further results involving percentile inactivity time order and its inference," METRON, Springer;Sapienza Università di Roma, vol. 72(3), pages 269-282, October.
    • Handle: RePEc:spr:metron:v:72:y:2014:i:3:p:269-282
    DOI: 10.1007/s40300-013-0017-9
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    References listed on IDEAS

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    1. Xiaohu Li & Richard Yam, 2005. "Reversed preservation properties of some negative aging conceptions and stochastic orders," Statistical Papers, Springer, vol. 46(1), pages 65-78, January.
    2. Asha, G. & Rejeesh, C. John, 2009. "Characterizations using the generalized reversed lack of memory property," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1480-1487, June.
    3. Li, Xiaohu & Da, Gaofeng & Zhao, Peng, 2010. "On reversed hazard rate in general mixture models," Statistics & Probability Letters, Elsevier, vol. 80(7-8), pages 654-661, April.
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