On residual lifetimes in sequential (n-k+1)-out-of-n systems

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GÜRLER S.

STATISTICAL PAPERS, cilt.53, sa.1, ss.23-31, 2012 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 53 Sayı: 1
• Basım Tarihi: 2012
• Doi Numarası: 10.1007/s00362-010-0305-x
• Dergi Adı: STATISTICAL PAPERS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.23-31
• Anahtar Kelimeler: Residual lifetime, Sequential (n - k+1)-out-of-n system, Mean residual life, Exponential distribution
• Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.