Background
Type: Article

On the conditional residual life and inactivity time of coherent systems

Journal: Journal of Applied Probability (219002)Year: 2014Volume: 51Issue: 4Pages: 990 - 998
Parvardeh A.a Balakrishnan N.
DOI:10.1017/s0021900200011931Language: English

Abstract

In this paper we derive mixture representations for the reliability functions of the conditional residual life and inactivity time of a coherent system with n independent and identically distributed components. Based on these mixture representations we carry out stochastic comparisons on the conditional residual life, and the inactivity time of two coherent systems with independent and identical components. © Applied Probability Trust 2014.


Author Keywords

Hazard rate orderInactivity timeLikelihood ratio orderResidual lifetimeReversed hazard rate orderSignature