Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling
| dc.authorid | TR104985 | en_US |
| dc.contributor.author | Akgül, Fatma Gül | |
| dc.contributor.author | Şenoğlu, Birdal | |
| dc.date.accessioned | 2020-02-04T07:56:03Z | |
| dc.date.available | 2020-02-04T07:56:03Z | |
| dc.date.issued | 2020 | |
| dc.department | AÇÜ, Mühendislik Fakültesi | en_US |
| dc.description.abstract | In this study, we consider the point and interval estimation of the stress–strength reliability R = P(X < Y) based on ranked set sampling when the stress X and the strength Y are both independent Burr Type X random variables. In the context of point estimation, we obtain the maximum likelihood (ML) estimator of R using iterative methods. We also use Mehrotra and Nanda’s modified maximum likelihood methodology, which gives explicit estimator of R as an alternative to the ML methodology. In view of interval estimation, we construct the asymptotic confidence interval of R In addition, the bootstrap confidence intervals of R are constructed based on two different resampling methods. The performance of the proposed estimators (both point and interval) is compared with their simple random sampling counterparts. A real data set from an agricultural experiment is analyzed to show the implementation of the proposed methodologies. | |
| dc.identifier.citation | Akgül, F. G., & Şenoğlu, B. (2020). Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling. Communications in Statistics-Simulation and Computation. | en_US |
| dc.identifier.doi | 10.1080/03610918.2020.1711949 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.uri | https://hdl.handle.net/11494/1933 | |
| dc.identifier.volume | Article in Press | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.institutionauthor | Akgül, Fatma Gül | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Inc | en_US |
| dc.relation.ispartof | Communications in Statistics: Simulation and Computation | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Burr Type X distribution | en_US |
| dc.subject | Efficiency | en_US |
| dc.subject | Modifiedmaximum likelihood | en_US |
| dc.subject | Ranked set sampling | en_US |
| dc.subject | Stress-strength reliability | en_US |
| dc.title | Inferences for stress–strength reliability of Burr Type X distributions based on ranked set sampling | en_US |
| dc.type | Article |
