Work

Design and Analysis of Reliability Sampling Plans Based on the Topp–Leone Generated Weibull Distribution

Year: 2025

Type: article

Abstract: As part of this study, we design a reliability acceptance sampling plan under the assumption that the lifetime of a product follows the Topp–Leone 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 producer’s 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.

Source: Symmetry

DOI: 10.3390/sym17091439

Authors: Jiju Gillariose, Mahmoud M. Abdelwahab, Rakshana Venkatesan, Joshin Joseph, Mohamed A. Abdelkawy, Mustafa M. Hasaballah

Institutions: Christ University, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Al-Imam Muhammad Ibn Saud Islamic University