On residual lifetimes in sequential (n-k+1)-out-of-n systems
STATISTICAL PAPERS, vol.53, no.1, pp.23-31, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 53 Issue: 1
- Publication Date: 2012
- Doi Number: 10.1007/s00362-010-0305-x
- Journal Name: STATISTICAL PAPERS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.23-31
- Keywords: Residual lifetime, Sequential (n - k+1)-out-of-n system, Mean residual life, Exponential distribution
- Dokuz Eylül University Affiliated: Yes
Abstract
Sequential order statistics is an extension of ordinary order statistics. They model the successive failure times in sequential k-out-of-n systems, where the failures of components possibly affect the residual lifetimes of the remaining ones. In this paper, we consider the residual lifetime of the components after the kth failure in the sequential (n - k + 1)-out-of-n system. We extend some results on the joint distribution of the residual lifetimes of the remaining components in an ordinary (n - k + 1)-out-of-n system presented in Bairamov and Arnold (Stat Probab Lett 78(8):945-952, 2008) to the case of the sequential (n - k + 1)-out-of-n system.