Conditional residual lifetimes of coherent systems under double monitoring. Issue 7 (3rd April 2017)

• Record Type: Journal Article
• Authors: Parvardeh, A.; Balakrishnan, N.; Arshadipour, Azam
• Is Part Of: Communications in statistics. Volume 46:Issue 7(2017)
• Page Start: 3401
• Page End: 3410
• Publication Date: 2017-04-03
• Subjects: Coherent systems -- double monitoring -- 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: 10.1080/03610926.2015.1060348
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: In this paper, we obtain a mixture representation for the reliability function of the conditional residual lifetime of a coherent system with n independent and identically distributed (i.i.d.) components under double monitoring. We suppose that at time t 1, j components have failed while at time t 2 the system is still alive. Based on these mixture representation, we then study stochastic comparisons of the conditional residual lifetimes of two coherent systems with independent and identical components.