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

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  • Alba M. Franco-Pereira

    ()

  • Rosa E. Lillo
  • Juan Romo
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    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.

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    File URL: http://e-archivo.uc3m.es/bitstream/10016/9242/1/ws103317.pdf
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    Bibliographic Info

    Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws103317.

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    Date of creation: Sep 2010
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    Handle: RePEc:cte:wsrepe:ws103317

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    Keywords: Aging notion; Hazard rate; Mean residual life; Percentile residual life; Reliability; Stochastic ordering;

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