ItemArticle

Design and Analysis of Reliability Sampling Plans Based on the ToppLeone Generated Weibull Distribution

Title
Design and Analysis of Reliability Sampling Plans Based on the ToppLeone Generated Weibull Distribution
Creator
Gillariose, Jiju; Abdelwahab, Mahmoud M.; Venkatesan, Rakshana; Joseph, Joshin; Abdelkawy, Mohamed A.; Hasaballah, Mustafa M.
Description
As part of this study, we design a reliability acceptance sampling plan under the assumption that the lifetime of a product follows the ToppLeone generated Weibull (TLGW) distribution, a model that exhibits structural symmetry in its hazard rate behavior and distributional form. The fundamental procedures for constructing such a plan are described. We compute and tabulate the minimum sample sizes required for given risk criteria using both binomial and Poisson models for the number of failures. We also provide the operating characteristic (OC) values for the proposed sampling plans, and determine the minimum ratios of true mean life to specified mean life needed to satisfy a given producers risk. The role of symmetry in the TLGW distribution is highlighted in its balanced tail properties and shape characteristics, which influence the performance of the acceptance sampling plan. Finally, we illustrate the applicability of the proposed plan with real-world data. 2025 by the authors.
Source
Symmetry;Volume;17;Issue;9;Article No.;1439;
Date
01-01-2025
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
Subject
operating characteristic function; producers risk; reliability test plan; ToppLeone family; ToppLeone generated Weibull distribution; Weibull 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; Venkatesan R., Department of Statistics and Data Science, Christ University, Hosur Road, Karnataka, Bangalore, 560029, India; Joseph J., SCAPS, Marian College Kuttikkanam, Kuttikkanam P.O, Idukki District, Kerala, Peermade, 685531, India; Abdelkawy M.A., Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia; 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: 20738994;
Format
online
Language
English
Type
Article

Citation

Gillariose, Jiju; Abdelwahab, Mahmoud M.; Venkatesan, Rakshana; Joseph, Joshin; Abdelkawy, Mohamed A.; Hasaballah, Mustafa M., “Design and Analysis of Reliability Sampling Plans Based on the ToppLeone Generated Weibull Distribution,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/23544.

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