Inferences for stress-strength reliability of Burr Type X distributions based on ranked set sampling
In this study, we consider the point and interval estimation of the stress-strength reliability based on ranked set sampling when the stress and the strength are both independent Burr Type X random variables. In the context of point estimation, we obtain the maximum likelihood (ML) estimator of usin...
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| Vydané v: | Communications in statistics. Simulation and computation Ročník 51; číslo 6; s. 3324 - 3340 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Philadelphia
Taylor & Francis
03.06.2022
Taylor & Francis Ltd |
| Predmet: | |
| ISSN: | 0361-0918, 1532-4141 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | In this study, we consider the point and interval estimation of the stress-strength reliability
based on ranked set sampling when the stress
and the strength
are both independent Burr Type X random variables. In the context of point estimation, we obtain the maximum likelihood (ML) estimator of
using iterative methods. We also use Mehrotra and Nanda's modified maximum likelihood methodology, which gives explicit estimator of
as an alternative to the ML methodology. In view of interval estimation, we construct the asymptotic confidence interval of
In addition, the bootstrap confidence intervals of
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. |
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| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0361-0918 1532-4141 |
| DOI: | 10.1080/03610918.2020.1711949 |