Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data
Yükleniyor...
Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Inference for the system reliability R is one of the most popular problems in the areas of engineering, statistics, biostatistics and etc. Therefore, there exist considerable numbers of studies concerning this problem. Traditionally, simple random sampling (SRS) is used for estimating the system reliability. However, in recent years, ranked set sampling (RSS), cost effective and efficient alternative of SRS, is used to estimate the system reliability. In this study, we consider the interval estimation of R when both the stress and the strength are independent Weibull random variables based on RSS. We first obtain the asymptotic confidence interval (ACI) of R by using the maximum likelihood (ML) methodology. The bootstrap confidence interval (BCI) of R is also constructed as an alternative to ACI. An extensive Monte-Carlo simulation study is conducted to compare the performances of ACI and BCI of R for different settings. Finally, a real data set is analyzed to demonstrate the implementation of the proposed methods.
Açıklama
Anahtar Kelimeler
Stress-strength model, Ranked set sampling, Asymptotic confidence interval, Bootstrap confidence interval, Monte-Carlo simulation
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
47
Sayı
5
Künye
Akgül, F. G., Şenoğlu, B., & Acıtaş, S. (2018). Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data. Hacettepe Journal of Mathematics and Statistics, 47(5), 1404-1416.
