ItemArticle

Bayesian and non-bayesian inference of the generalized Lomax distribution under a unified hybrid censoring scheme with applications in failure times in biomedical and aerospace materials

Title
Bayesian and non-bayesian inference of the generalized Lomax distribution under a unified hybrid censoring scheme with applications in failure times in biomedical and aerospace materials
Creator
Oommen, Ninan P.; Gillariose, Jiju
Description
The unified hybrid censoring scheme is a combination of different types of censoring schemes used in reliability testing. This paper presents the statistical inference of generalized Lomax distribution under unified hybrid censoring scheme. The point and interval estimates of the parameters ?,?, and ? of the generalized Lomax distribution have been studied for unified hybrid censored data. In point estimation, the maximum likelihood estimation method is used for computing the estimates, and Tierney and Kadane estimation method is used for Bayes estimation. A 100(1-?)% approximate confidence interval and Bayesian credible intervals for the parameters ?,?, and ? have been computed in the interval estimation part. Mean squared errors are computed for all the estimates and comparison of estimates have been done. The results indicate that the Bayesian estimation method yields more accurate and reliable parameter estimates compared to the maximum likelihood approach. Finally, data representing failure times of fatigue fracture of Kevlar 373/epoxy and failure times of aircraft windshields have been used for point and interval estimations of all parameters as application of real-life scenarios. The Author(s) under exclusive licence to The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2025.
Source
International Journal of System Assurance Engineering and Management;Volume;16;Issue;12;pp.4021-4034
Date
01-01-2025
Publisher
Springer
Subject
Bayesian estimation; Generalized Lomax distribution; Newton Raphson method; Tierney and Kadane method; Unified hybrid censoring scheme
Coverage
Oommen N.P., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bengaluru, 560029, India; Gillariose J., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bengaluru, 560029, India
Rights
Restricted Access; Hardcopy may be available in the library
Relation
ISSN: 9756809;
Format
online
Language
English
Type
Article

Citation

Oommen, Ninan P.; Gillariose, Jiju, “Bayesian and non-bayesian inference of the generalized Lomax distribution under a unified hybrid censoring scheme with applications in failure times in biomedical and aerospace materials,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/22030.

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