Inferences on stress-strength reliability based on ranked set sampling data in case of Lindley distribution
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CitationAkgül, F. G., Acıtaş, Ş., & Şenoğlu, B. (2018). Inferences on stress–strength reliability based on ranked set sampling data in case of Lindley distribution. Journal of Statistical Computation and Simulation, 88(15), 3018-3032.
In this study, we consider point and interval estimation of stress-strength reliability R = P(X < Y) based on ranked set sampling when the distribution of the stress and the strength are both Lindley. Firstly, maximum likelihood (ML) estimator of R is obtained. Then, we find asymptotic distribution of ML estimator of R to construct the asymptotic confidence interval. Furthermore, bootstrap confidence intervals of R are constructed using two different resampling methods. The performances of proposed methods are compared with their simple random sampling counterparts via an extensive Monte-Carlo simulation study. At the end of the study, a real data set is analysed for illustrative purposes.