Journal of Computational and Applied Mathematics, ( ISI ), Volume (239), No (1), Year (2013-2) , Pages (93-102)

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

Authors: mohammad vali Ahmadi , Mahdi Doostparast , Jafar Ahmadi ,

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An important topic in the manufacturing industries is the assessing of the lifetime performance. In this paper, it is supposed the lifetime of products are independent and have a common Weibull distribution with a known shape parameter. The lifetime performance index (C_L) proposed by Montgomery [20], 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 sensitive 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.

Keywords

Confidence interval; Maximum likelihood estimator; Process capability indices; Pitman measure of closeness; Weibull
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@article{paperid:1029760,
author = {Ahmadi, Mohammad Vali and Doostparast, Mahdi and Ahmadi, Jafar},
title = {Estimating the lifetime performance index with Weibull distribution based on progressive first-failure censoring scheme},
journal = {Journal of Computational and Applied Mathematics},
year = {2013},
volume = {239},
number = {1},
month = {February},
issn = {0377-0427},
pages = {93--102},
numpages = {9},
keywords = {Confidence interval; Maximum likelihood estimator; Process capability indices; Pitman measure of closeness; Weibull distribution.},
}

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%0 Journal Article
%T Estimating the lifetime performance index with Weibull distribution based on progressive first-failure censoring scheme
%A Ahmadi, Mohammad Vali
%A Doostparast, Mahdi
%A Ahmadi, Jafar
%J Journal of Computational and Applied Mathematics
%@ 0377-0427
%D 2013

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