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The percentile residual life up to time t(o): Ordering and aging properties



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Franco Pereira, Alba M. and Lillo, Rosa E. and Romo, Juan (2011) The percentile residual life up to time t(o): Ordering and aging properties. Journal of Statistical Planning and Inference , 141 (11). pp. 3554-3563. ISSN 0378-3758

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Official URL: http://www.sciencedirect.com/science/article/pii/S0378375811002011


Motivated by practical issues, a new stochastic order for random variables is introduced by comparing all their percentile residual life functions until a certain instant. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are studied and also an application in reliability theory is described. Finally, we present some characterization results of the decreasing percentile residual life up to time to aging notion.

Item Type:Article
Uncontrolled Keywords:Aging notion; Hazard rate; Mean residual life; Percentile residual life; Reliability; Stochastic ordering
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:24411
Deposited On:29 Jan 2014 12:20
Last Modified:07 Feb 2014 11:17

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