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

Authors

Sanku Dey, St. Anthony's College
Josmar Mazucheli, Universidade Estadual de Maringá
M. Z. Anis, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Communications in Statistics - Theory and Methods

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.

First Page

1560

Last Page

1572

DOI

10.1080/03610926.2015.1022457

Publication Date

2-16-2017

Recommended Citation

Dey, Sanku; Mazucheli, Josmar; and Anis, M. Z., "Estimation of reliability of multicomponent stress–strength for a Kumaraswamy distribution" (2017). Journal Articles. 2684.
https://digitalcommons.isical.ac.in/journal-articles/2684