Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations

JOURNAL OF MULTIVARIATE ANALYSIS

卷:102

Article

Marichal, Jean-Luc¹  Mathonet, Pierre¹ 

[1] Univ Luxembourg, FSTC, Math Res Unit, L-1359 Luxembourg, Luxembourg

关键词: System signature;    System reliability;    Semicoherent system;    Order statistic;   

DOI  :  10.1016/j.jmva.2011.01.010

来源: Elsevier

【 摘 要 】

The concept of system signature was introduced by Samaniego for systems whose components have lid. lifetimes. We consider its extension to the continuous dependent case and give an explicit expression for this extension as a difference of weighted means of the structure function values. We then derive a formula for the computation of the coefficients of these weighted means in the special case of independent continuous lifetimes. Finally, we interpret this extended concept of signature through a natural least squares approximation problem. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free