ON THE RESIDUAL AND INACTIVITY TIMES OF THE COMPONENTS OF USED COHERENT SYSTEMS

被引:0
作者
Goliforushani, S. [1 ]
Asadi, M. [1 ]
Balakrishnan, N. [2 ]
机构
[1] Univ Isfahan, Dept Stat, Esfahan 81744, Iran
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
关键词
k-out-of-n system; hazard rate; reversed hazard rate; stochastic ordering; residual lifetime; inactivity time; order statistics; reliability; signature; conditional lifetime; increasing failure rate; LIFE FUNCTION; MIXTURE REPRESENTATIONS; RELIABILITY; SIGNATURES; LIFETIMES;
D O I
10.1017/S0021900200009153
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In the study of the reliability of technical systems in reliability engineering, coherent systems play a key role. In this paper we consider a coherent system consisting of n components with independent and identically distributed components and propose two time-dependent criteria. The first criterion is a measure of the residual lifetime of live components of a coherent system having some of the components alive when the system fails at time t. The second criterion is a time-dependent measure which enables us to investigate the inactivity times of the failed components of a coherent system still functioning though some of its components have failed. Several ageing and stochastic properties of the proposed measures are then established.
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页码:385 / 404
页数:20
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