Estimation of reliability in multicomponent stress–strength based on two parameter exponentiated weibull distribution
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor and Francis Group
Abstract
In this research article, we estimate the multicomponent stress–strength reliability of a system when strength and stress variates are drawn from an exponentiated Weibull distribution with different shape parameters α and β, and common shape and scale parameters γ and λ, respectively. We estimate the parameters by using maximum likelihood estimation (MLE) and hence the estimate of reliability obtained applying the MLE method of estimation when samples are drawn from stress and strength distributions. The small sample comparison of the reliability estimates is made through Monte Carlo simulation.
Description
Abstract. Full text article available at https://doi.org/10.1080/03610926.2016.1154155
Keywords
Confidence intervals, Exponentiated Weibull distribution, MLE estimation, Reliability estimation, Stress–strength, Reliability in multicomponent
Citation
Srinivasa Rao, G., Aslam, M., & Arif, O. H. (2017). Estimation of reliability in multicomponent stress–strength based on two parameter exponentiated weibull distribution. Communications in Statistics-Theory and Methods, 46(15), 7495-7502.