Jointly Rayleigh lifetime products in the presence of competing risks model

In this article, we are applying the competing risks model of product from two different lines of production. So, the comparative life test is done under type-II censoring scheme with consideration of only two independent causes of failure. The statistical analysis procedures are developed consideri...

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Bibliographic Details
Main Authors: Badr Souha K., Abu-Zinadah Hanaa
Format: Article
Language:English
Published: De Gruyter 2022-09-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2022-0192
Description
Summary:In this article, we are applying the competing risks model of product from two different lines of production. So, the comparative life test is done under type-II censoring scheme with consideration of only two independent causes of failure. The statistical analysis procedures are developed considering joint sample of production and its life distributed with the Rayleigh lifetime distribution. The point estimation and the corresponding asymptotic confidence interval of the model parameters under maximum likelihood are constructed. Two bootstrap confidence intervals, bootstrap-pp, and bootstrap-tt, are discussed. Also, Bayesian approach to estimate point and credible interval is constructed. The estimation results are discussed through data set analyses. The validity of theoretical results is assessed and compared through Monte Carlo study. Finally, some of the points are reported as a brief comment.
ISSN:2391-5471