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- Title
Evaluating the lifetime performance index of products based on progressively Type‐II censored Pareto samples: A new Bayesian approach.
- Authors
Ahmadi, Mohammad Vali; Doostparast, Mahdi
- 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 CL$C_L$ is commonly considered by industrial managers. This paper confines itself to the the Bayesian statistical inferences about CL$C_L$ 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 CL$C_L$.
- Subjects
PROCESS capability; MONTE Carlo method; PARETO distribution; CENSORSHIP; MANUFACTURING processes
- Publication
Quality & Reliability Engineering International, 2022, Vol 38, Issue 4, p1612
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.3040