Inferences on stress-strength reliability based on ranked set sampling data in case of Lindley distribution

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Küçük Resim

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Stress-strength reliability, Ranked set sampling, Lindley distribution, Estimation, Monte-Carlo simulation

Kaynak

Journal of Statistical Computation and Simulation

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

88

Sayı

15

Künye

Akgül, 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.