Estimation of reliability with cumulative stress and strength degradation

被引:5
作者
Bhuyan, P. [1 ]
Dewanji, A. [1 ]
机构
[1] Indian Stat Inst, Appl Stat Unit, Kolkata, India
关键词
Identifiability; Kaplan-Meier estimate; mechanistic model; parametric bootstrap; sampling plan; MODELS;
D O I
10.1080/02331888.2016.1277224
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
In many real-life scenarios, system reliability depends on dynamic stress-strength interference where strength degrades and stress accumulates concurrently over time. In this paper, we consider the problem of estimating reliability of a system under deterministic strength degradation and cumulative damage due to shocks arriving according to a point process. Maximum likelihood estimation under two different sampling plans has been considered. Large sample properties in general are discussed. The method is illustrated through simulation and real-life data analysis.
引用
收藏
页码:766 / 781
页数:16
相关论文
共 19 条
[1]  
[Anonymous], 1981, RISK ANAL, DOI DOI 10.1111/J.1539-6924.1981.TB01415.X
[2]  
Ash R. B., 2000, PROBABILITY MEASURE
[3]  
Bhuyan P, 2015, ESTIMATION SYSTEM RE
[4]  
Bhuyan P, 2016, ANN I STAT MATH
[5]  
Dewanji P, 2015, COMMUNICATIONS STAT
[6]   ESTIMATION FOR A PROBABILISTIC STRESS-STRENGTH MODEL [J].
DURHAM, SD ;
PADGETT, WJ .
IEEE TRANSACTIONS ON RELIABILITY, 1990, 39 (02) :199-203
[7]   ESTIMATION OF SYSTEM RELIABILITY IN BROWNIAN STRESS-STRENGTH MODELS BASED ON SAMPLE PATHS [J].
EBRAHIMI, N ;
RAMALLINGAM, T .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1993, 45 (01) :9-19
[8]  
Gertbsbakh IB, 1969, MODELS FAILURE
[9]  
Kapur K.C., 1977, Reliability in engineering design
[10]  
Kotz S, 2003, STRESSSTRENGTH MODEL