Control and Cybernetics, Volume (44), No (1), Year (2015-1) , Pages (163-177)

Title : ( Record-based inference and associated cost analysis for the Weibull distribution )

Authors: Mahdi Doostparast ,

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In statistical process controls, record schemes are used to reduce the total time on test of an experiment. In these schemes, units are examined sequentially and successive minimum values are recorded. On the basis of record data, Samaniego and Whitaker (1986) obtained the maximum likelihood (ML) estimate of the mean for an exponential distribution. Since the two-parameter Weibull model, as an extension of the exponential distribution, has a wide range of application, Hoinkes and Padgett (1994) derived the record-based ML estimators for the parameters on interest in this model. This paper shows that the ML estimates of the Weibull parameters do not always exist on the basis of records. Thus, a new scheme is proposed in which the ML estimates of the parameters are always exist. An analytic cost-based comparison between usual and new schemes is also carried out. Finally, some concluding remarks and open problems are formulated.

Keywords

cost analysis; lifetime models; likelihood function; record data; total time on test; Weibull
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@article{paperid:1047441,
author = {Doostparast, Mahdi},
title = {Record-based inference and associated cost analysis for the Weibull distribution},
journal = {Control and Cybernetics},
year = {2015},
volume = {44},
number = {1},
month = {January},
issn = {0324-8569},
pages = {163--177},
numpages = {14},
keywords = {cost analysis; lifetime models; likelihood function; record data; total time on test; Weibull model},
}

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%0 Journal Article
%T Record-based inference and associated cost analysis for the Weibull distribution
%A Doostparast, Mahdi
%J Control and Cybernetics
%@ 0324-8569
%D 2015

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