Estimating the lifetime performance index with Weibull distribution based on progressive first-failure censoring scheme

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:239

Article

Ahmadi, Mohammad Vail¹  Doostparast, Mandi¹  Ahmadi, Jafar¹ 

[1] Ferdowsi Univ Mashhad, Dept Stat, Ordered & Spatial Data Ctr Excellence, Mashhad, Iran

关键词: Confidence interval;    Maximum likelihood estimator;    Process capability indices;    Pitman measure of closeness;    Weibull distribution;   

DOI  :  10.1016/j.cam.2012.09.006

来源: Elsevier

【 摘 要 】

An important topic in the manufacturing industries is the assessing of the lifetime performance. In this paper, it is supposed the lifetimes of products are independent and have a common Weibull distribution with a known shape parameter. The lifetime performance index (C-L) proposed by Montgomery (1985) [1], is used for evaluating the performance of a process with respect to a lower specification limit (L). The maximum likelihood estimate of C-L is obtained on the basis of the progressive first-failure censored data. This estimate is then used for developing a confidence interval for C-L. The behavior of the confidence interval for the parameter C-L given a significance level is investigated and also two illustrative examples and a sensitivity analysis are given. For the exponential distribution as a special case of Weibull distribution, a comparison study for various estimates of C-L based on mean squared error (MSE) and Pitman measure of closeness (PMC) criteria is done. (C) 2012 Elsevier BM. All rights reserved.

【 授权许可】

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