Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan-Reference-Cited by-同舟云学术

Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Hong Ching-Wen¹,Lee Wen-Chuan²,Wu Jong-Wuu³

Affiliation:

1. Department of Information Management, Shih Chien University, Kaohsiung Campus, Kaohsiung 84550, Taiwan

2. Department of International Business, Chang Jung Christian University, Tainan 71101, Taiwan

3. Department of Applied Mathematics, National Chiayi University, Chiayi City 60004, Taiwan

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance indexCLis a popular means to assess the performance and potential of their processes, whereLis the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) ofCLwith the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE ofCLis then utilized to develop a new hypothesis testing procedure in the condition of knownL.

Funder

National Science Council

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2012/717184.pdf

Reference18 articles.

1. Process Capability Indices

2. Statistical testing for assessing the performance of lifetime index of electronic components with exponential distribution

3. Computational procedure of performance assessment of lifetime index of businesses for the pareto lifetime model with the right type II censored sample