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Communications in Statistics - Theory and Methods Volume 46, 2017 - Issue 4
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Original Articles

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

Sanku DeyDepartment of Statistics, St. Anthony’s College, Shillong, Meghalaya, IndiaCorrespondence[email protected]
,
Josmar MazucheliUniversidade Estadual de Maringá, DEs, PR, Brazil
&
M. Z. AnisSQC & OR Unit, Indian Statistical Institute, Kolkatta, India
Pages 1560-1572 | Received 27 May 2014, Accepted 10 Feb 2015, Published online: 08 Mar 2016
 
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Abstract

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.

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