On quantile reversed residual lifetime and its aging properties

Mervat Mahdy () and Ramadan Mahdy ()

METRON, 2012, vol. 70, issue 2, 131 pages

Abstract: If the random variable T denotes the lifetime (T > 0, with probability one) of a unit, then the random variable T (t) =[t − T|T ⩽ t],, for a fixed t, is known as the inactivity time or the reversed residual lifetime. In this paper, we define a new class of life distributions based on the quantile of the random variable T( t ) and study its reliability properties. Some new results of the proposed class are demonstrated including some closure properties. In particular, the quantile reversed residual lifetime functions of some well-known life distributions are illustrated. Finally, we define a new stochastic ordering based on the quantile reversed residual lifetime and study its reliability properties and closure properties. Copyright Sapienza Università di Roma 2012

Keywords: Mean residual life; Increasing mean inactivity time class; Distribution theory (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metron:v:70:y:2012:i:2:p:121-131

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DOI: 10.1007/BF03321970

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