Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/79
Title: Inferences on stress-strength reliability based on ranked set sampling data in case of Lindley distribution
Authors: Akgül, Fatma Gül
Acıtaş, Şükrü
Şenoğlu, Birdal
Keywords: Stress-strength reliability
ranked set sampling
Lindley distribution
estimation
Monte-Carlo simulation
Issue Date: 2018
Publisher: Taylor & Francis Ltd
Abstract: 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.
URI: https://doi.org/10.1080/00949655.2018.1498095
https://hdl.handle.net/20.500.13087/79
ISSN: 0094-9655
1563-5163
Appears in Collections:Fizik Bölümü Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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