Multicomponent stress-strength reliability estimation for the standard two-sided power distribution

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:2
Multicomponent stress-strength reliability estimation for the standard two-sided power distribution

Multicomponent stress-strength reliability estimation for the standard two-sided power distribution

Authors : Çağatay ÇETİNKAYA, Ali GENC

Pages : 587-605

Doi:10.15672/hujms.936632

View : 66 | Download : 11

Publication Date : 2022-04-01

Article Type : Research Paper

Abstract :A system of $k$ components that functions as long as at least $s$ components survive is termed as $s$-out-of-$k$:G system, where G refers to `good`. In this study, we consider the $s$-out-of-$k$:G system when $X_{1}, X_{2},\cdots, X_{k}$ are independent and identically distributed strength components and each component is exposed to common random stress $Y$ when the underlying distributions all belong to the standard two-sided power distribution. The system is regarded as surviving only if at least $s$ out of $k$ $1 Keywords : Bayesian estimation, maximum likelihood estimation, reliability, stress strength model, two sided power distribution

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