Evaluating the lifetime performance index of products based on progressively Type‐II censored Pareto samples: A new Bayesian approach. (9th December 2021)

• Record Type: Journal Article
• Authors: Ahmadi, Mohammad Vali; Doostparast, Mahdi
• Is Part Of: Quality and reliability engineering international. Volume 38:Number 4(2022)
• Page Start: 1612
• Page End: 1634
• Publication Date: 2021-12-09
• Subjects: bayesian approach -- lifetime performance index -- pareto distribution -- process capability analysis -- progressive type‐ii censoring -- sensitivity analysis; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.3040
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: Process capability indices has been widely applied in industry to assess the performance of industrial processes. For the larger‐the‐better lifetimes of products, the lifetime performance index C L $C_L$ is commonly considered by industrial managers. This paper confines itself to the the Bayesian statistical inferences about C L $C_L$ under the Pareto distribution with the progressively Type‐II censored samples. The Bayesian inferences are based on a conjugate continuous prior for the scale parameter and a discrete prior for the shape parameter of the distribution under consideration. Two illustrative examples are given to demonstrate the sensitivity of results to the prior hyperparameters and the underlying distribution of the observations. Finally, a Monte Carlo simulation study is done to evaluate the behavior of the lifetime performance index C L $C_L$ .