dc.contributor.author | Akgül, Fatma Gül | |
dc.contributor.author | Şenoğlu, Birdal | |
dc.contributor.author | Acıtaş, Şükrü | |
dc.date.accessioned | 2021-03-24T13:08:49Z | |
dc.date.available | 2021-03-24T13:08:49Z | |
dc.date.issued | 2018 | en_US |
dc.identifier.citation | 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. | en_US |
dc.identifier.uri | https://hdl.handle.net/11494/2803 | |
dc.description.abstract | 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. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Hacettepe Univ | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Stress-strength model | en_US |
dc.subject | Ranked set sampling | en_US |
dc.subject | Asymptotic confidence interval | en_US |
dc.subject | Bootstrap confidence interval | en_US |
dc.subject | Monte-Carlo simulation | en_US |
dc.title | Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data | en_US |
dc.type | article | en_US |
dc.relation.journal | Hacettepe Journal of Mathematics and Statistics | en_US |
dc.department | AÇÜ, Mühendislik Fakültesi | en_US |
dc.identifier.volume | 47 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 1404 | en_US |
dc.identifier.endpage | 1416 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.15672/HJMS.2018.562 | en_US |
dc.contributor.institutionauthor | Akgül, Fatma Gül | en_US |