Estimation of stress-strength reliability R=P(X>Y) based on Weibull record data in the presence of inter-record times
A considerable body of literature has been recently devoted to the inference problem of the reliability parameter R=P(X>Y) based on record data. In this article, we consider the records as well as the corresponding inter-record times to develop inference procedures for R assuming X and Y come fro...
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| Autores principales: | , , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Elsevier
2022
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/cba42a198b4c4ddf88252fe1c9260e7c |
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| Sumario: | A considerable body of literature has been recently devoted to the inference problem of the reliability parameter R=P(X>Y) based on record data. In this article, we consider the records as well as the corresponding inter-record times to develop inference procedures for R assuming X and Y come from Weibull distribution. The maximum likelihood estimator of R and its corresponding confidence interval are determined. Bayesian analyses involving Tierney and Kadane’s approximation and Metropolis-Hasting samplers are used to estimate R based on LINEX and square error loss functions. In addition, the estimation problem of R is discussed in the models with known shape parameters. To compare all methods developed here, numerical simulation is carried out. Finally, different real data sets are analyzed. |
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