WNBUE Class and its Applications to Signature-Based Bounds for Reliability of Coherent Systems

被引：0
|
作者：
Toomaj, Abdolsaeed [1 ]
Balakrishnan, Narayanaswamy [2 ]
机构：
[1] Gonbad Kavous Univ, Dept Math & Stat, Gonbad Kavous, Iran
[2] McMaster Univ Hamilton, Distinguished Univ Prof Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
来源：
METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2024年 / 26卷 / 04期
关键词：
System signature; Aging classes; NBUE; NWUE; MRL; LIFETIME DATA; INFERENCE;
D O I：
10.1007/s11009-024-10107-9
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The inequalities are established here rational functions of the weighted moments and conditional weighted tail moments of the underlying failure distribution. In this paper, we first introduce a new notion of aging called "weighted new better (worse) than used in expectation" and then we present a procedure for developing reliability inequalities based on this new aging notion. Next, we apply it to obtain the reliability of a coherent system by using the Samaniego signature when the component lifetimes are independent and identically distributed. Specially, we use the new bounds for consecutive-type systems. These new bounds are easy to compute as they depend on the system signature and the parent distribution.
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页数：17
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