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

Estimation of reliability of multicomponent stress-strength for a Kumaraswamy distribution
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DOI:
10.1080/03610926.2015.1022457
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发表时间:
2017-01-01
影响因子:
0.8
通讯作者:
Anis, M. Z.
Anis, M. Z.
中科院分区:
数学4区
文献类型:
--
作者:
Dey, Sanku;Mazucheli, Josmar;Anis, M. Z.

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本文通过假设 Kumaraswamy 分布来讨论多分量应力强度可靠性的贝叶斯和非贝叶斯估计。假设应力和强度都具有具有共同且已知的形状参数的 Kumaraswamy 分布。这种系统的可靠性是通过最大似然法和贝叶斯方法获得的,并且使用马尔可夫链蒙特卡罗(MCMC)技术对小样本和大样本的结果进行比较。最后,出于说明目的对两个数据集进行了分析。
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.