A note on the conditional residual lifetime of a coherent system under double monitoring

作者：Parvardeh A; Balakrishnan N^*; Arshadipour Azam

来源：Communications in Statistics - Theory and Methods, 2018, 47(10): 2373-2378.

DOI：10.1080/03610926.2014.988267

• Hazard rate order
• Likelihood ratio order
• Residual lifetime
• Reversed hazard rate order
• Signature

In this note, we derive some mixture representations for the reliability function of the conditional residual lifetime of a coherent system with n independent and identically distributed (i.i.d.) components under the condition that at time t(1) the jth failures has occurred and at time t(2) the kth failures (j < k) have not occurred yet. Based on the mixture representations, we then discuss the stochastic comparisons of the conditional residual lifetimes of two coherent systems with i.i.d. components.

• 出版日期2018