Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution

被引:72
作者
Dey, Sanku [1 ]
Mazucheli, Josmar [2 ]
Anis, M. Z. [3 ]
机构
[1] St Anthonys Coll, Dept Stat, Shillong 793001, Meghalaya, India
[2] Univ Estadual Maringa, Des, PR, Brazil
[3] Indian Stat Inst, SQC & OR Unit, Kolkata, India
关键词
Bayesian estimation; Kumaraswamy distribution; maximum likelihood estimation; reliability of multicomponent; PROBABILITY DENSITY-FUNCTION; RUN LENGTH CONTROL; BAYESIAN-ESTIMATION; YIELD; SYSTEM;
D O I
10.1080/03610926.2015.1022457
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
This article deals with the Bayesian and non Bayesian estimation of multicomponent stress-strength reliability by assuming the Kumaraswamy distribution. Both stress and strength are assumed to have a Kumaraswamy distribution with common and known shape parameter. The reliability of such a system is obtained by the methods of maximum likelihood and Bayesian approach and the results are compared using Markov Chain Monte Carlo (MCMC) technique for both small and large samples. Finally, two data sets are analyzed for illustrative purposes.
引用
收藏
页码:1560 / 1572
页数:13
相关论文
共 43 条
[1]  
[Anonymous], 2011, R: A Language and Environment for Statistical Computing
[2]  
[Anonymous], 2003, STRESS STRENGTH MODE
[3]  
Bhattacharya Debasis, 2013, American Journal of Mathematical and Management Sciences, V32, P40, DOI 10.1080/01966324.2013.788399
[4]   ESTIMATION OF RELIABILITY IN A MULTICOMPONENT STRESS-STRENGTH MODEL [J].
BHATTACHARYYA, GK ;
JOHNSON, RA .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1974, 69 (348) :966-970
[5]   UNDERSTANDING THE METROPOLIS-HASTINGS ALGORITHM [J].
CHIB, S ;
GREENBERG, E .
AMERICAN STATISTICIAN, 1995, 49 (04) :327-335
[6]  
Congdon P., 2001, BAYESIAN STAT MODELI, DOI DOI 10.1002/9780470035948
[8]  
Dasgupta R, 2011, SANKHYA SER B, V73, P1, DOI 10.1007/s13571-011-0015-y
[9]   BAYESIAN-ANALYSIS OF RELIABILITY IN MULTICOMPONENT STRESS-STRENGTH MODELS [J].
DRAPER, NR ;
GUTTMAN, I .
COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1978, 7 (05) :441-451
[10]  
EBRAHIMI N, 1982, IEEE T RELIAB, V31, P202, DOI 10.1109/TR.1982.5221301