ItemArticle

A comparative study of bayesian and classical methods for the weighted Lindley distribution under unified hybrid censoring with survival data applications

Title
A comparative study of bayesian and classical methods for the weighted Lindley distribution under unified hybrid censoring with survival data applications
Creator
Gillariose, Jiju; Abdelwahab, Mahmoud M.; Elbatal, Ibrahim; Oommen, Ninan P.; Joseph, Joshin; Hasaballah, Mustafa M.
Description
In survival analysis and reliability engineering, censoring schemes play a crucial role in efficient data collection and analysis. This study investigated the unified hybrid censoring scheme (UHCS), a versatile framework that integrates multiple censoring strategies, to evaluate the suitability of the Weighted Lindley (WL) distribution for modeling lifetime data. Maximum likelihood estimates (MLEs) and their corresponding asymptotic confidence intervals are derived for the parameters of the WL distribution. In the Bayesian framework, parameter estimation was performed under a squared error loss function. A detailed Monte Carlo simulation study was conducted to compare the performance of classical and Bayesian estimators across various sample sizes and censoring schemes. The simulation results revealed that Bayesian estimators consistently yielded lower mean squared errors (MSEs) than their classical counterparts, and the associated credible intervals were generally narrower than the frequentist confidence intervals. To demonstrate the practical applicability of the proposed methods, the analysis was applied to real-world survival datasets. The results highlighted the effectiveness of the WL distribution under UHCS, offering valuable insights for researchers and practitioners in reliability and survival analysis. 2025 the Author(s), licensee AIMS Press.
Source
AIMS Mathematics;Volume;10;Issue;9;pp.22180-22205
Date
01-01-2025
Publisher
American Institute of Mathematical Sciences
Subject
Bayesian estimation; censored data; Markov Chain Monte Carlo; maximum likelihood estimation; reliability modeling; survival analysis; unified hybrid censoring scheme; weighted Lindley distribution
Coverage
Gillariose J., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bangalore, 560029, India; Abdelwahab M.M., Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; Elbatal I., Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; Oommen N.P., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bangalore, 560029, India; Joseph J., SCAPS, Marian College Kuttikkanam, Kuttikkanam P.O, Peermade, Idukki District, Kerala, 685531, India; Hasaballah M.M., Department of Basic Sciences, Marg Higher Institute of Engineering and Modern Technology, Cairo, 11721, Egypt
Rights
All Open Access; Gold Open Access
Relation
ISSN: 24736988;
Format
online
Language
English
Type
Article

Citation

Gillariose, Jiju; Abdelwahab, Mahmoud M.; Elbatal, Ibrahim; Oommen, Ninan P.; Joseph, Joshin; Hasaballah, Mustafa M., “A comparative study of bayesian and classical methods for the weighted Lindley distribution under unified hybrid censoring with survival data applications,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 20, 2026, https://archives.christuniversity.in/items/show/23594.

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