Bayesian inference for two populations of Lomax distribution under joint progressive Type‐II censoring schemes with engineering applications

IF 2.2 3区工程技术 Q3 ENGINEERING, INDUSTRIAL

Quality and Reliability Engineering International Pub Date : 2024-08-10 DOI:10.1002/qre.3633

Mustafa M. Hasaballah, Y. Tashkandy, O. S. Balogun, M. E. Bakr

引用次数: 0

Abstract

The joint progressive Type‐II censoring scheme is an advantageous cost‐saving strategy. In this paper, investigated classical and Bayesian methodologies for estimating the combined parameters of two distinct Lomax distributions employing the joint progressive Type‐II censoring scheme. Maximum likelihood estimators have been derived, and asymptotic confidence intervals are presented. Bayesian estimates and their corresponding credible intervals are calculated, incorporating both symmetry and asymmetry loss functions through the utilization of the Markov Chain Monte Carlo (MCMC) method. The simulation aspect has employed the MCMC approximation method. Furthermore, discussed the practical application of these methods, providing illustration through the analysis of a real dataset.

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联合渐进式 II 类删减方案下洛马克斯分布两个种群的贝叶斯推断与工程应用

联合渐进式 II 型剔除方案是一种节约成本的有利策略。本文研究了采用联合渐进式 II 型剔除方案估算两个不同洛马克斯分布组合参数的经典方法和贝叶斯方法。推导出了最大似然估计值，并给出了渐近置信区间。通过使用马尔可夫链蒙特卡罗（MCMC）方法，结合对称和不对称损失函数，计算出贝叶斯估计值及其相应的可信区间。模拟方面采用了 MCMC 近似方法。此外，还讨论了这些方法的实际应用，并通过对真实数据集的分析进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quality and Reliability Engineering International 管理科学-工程：工业

CiteScore

4.90

自引率

21.70%

发文量

181

审稿时长

6 months

期刊介绍： Quality and Reliability Engineering International is a journal devoted to practical engineering aspects of quality and reliability. A refereed technical journal published eight times per year, it covers the development and practical application of existing theoretical methods, research and industrial practices. Articles in the journal will be concerned with case studies, tutorial-type reviews and also with applications of new or well-known theory to the solution of actual quality and reliability problems in engineering. Papers describing the use of mathematical and statistical tools to solve real life industrial problems are encouraged, provided that the emphasis is placed on practical applications and demonstrated case studies. The scope of the journal is intended to include components, physics of failure, equipment and systems from the fields of electronic, electrical, mechanical and systems engineering. The areas of communications, aerospace, automotive, railways, shipboard equipment, control engineering and consumer products are all covered by the journal. Quality and reliability of hardware as well as software are covered. Papers on software engineering and its impact on product quality and reliability are encouraged. The journal will also cover the management of quality and reliability in the engineering industry. Special issues on a variety of key topics are published every year and contribute to the enhancement of Quality and Reliability Engineering International as a major reference in its field.