Reliability Analysis of the Proportional Mean Residual Life Order

M. Kayid, S. Izadkhah and H. Alhalees

Mathematical Problems in Engineering, 2014, vol. 2014, 1-8

Abstract:

The concept of mean residual life plays an important role in reliability and life testing. In this paper, we introduce and study a new stochastic order called proportional mean residual life order. Several characterizations and preservation properties of the new order under some reliability operations are discussed. As a consequence, a new class of life distributions is introduced on the basis of the anti-star-shaped property of the mean residual life function. We study some reliability properties and some characterizations of this class and provide some examples of interest in reliability.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:142169

DOI: 10.1155/2014/142169

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