A note on the conditional residual lifetime of a coherent system under double monitoring. Issue 10 (19th May 2018)

• Record Type: Journal Article
• Authors: Parvardeh, A.; Balakrishnan, N.; Arshadipour, Azam
• Is Part Of: Communications in statistics. Volume 47:Issue 10(2018)
• Page Start: 2373
• Page End: 2378
• Publication Date: 2018-05-19
• Subjects: Hazard rate order -- Likelihood ratio order -- Residual lifetime -- Reversed hazard rate order -- Signature.; Primary 90B25 -- Secondary 60K10; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2014.988267
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: 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 j th failures has occurred and at time t 2 the k th 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.