The percentile residual life up to time t0: ordering and aging properties

Alba María Franco Pereira, Rosa Elvira Lillo Rodríguez and Juan Romo

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: 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 t0 aging notion.

Keywords: Aging; notion; Hazard; rate; Mean; residual; life; Percentile; residual; life; Reliability; Stochastic; ordering (search for similar items in EconPapers)
Date: 2010-09
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Persistent link: https://EconPapers.repec.org/RePEc:cte:wsrepe:ws103317

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