On estimation based on progressive first-failure-censored sampling

Authors:
Shuo-Jye Wu;Coşkun Kuş
Affiliations:
Department of Statistics, Tamkang University, Tamsui, Taipei 25137, Taiwan;Department of Statistics, Faculty of Art and Science, Selcuk University, 42031, Konya, Turkey
Venue:
Computational Statistics & Data Analysis
Year:
2009

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Original article: Reliability analysis based on progressively first-failure-censored samples for the proportional hazard rate model

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

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Abstract

In this paper, a new life test plan called a progressive first-failure-censoring scheme is introduced. Maximum likelihood estimates, exact and approximate confidence intervals and an exact confidence region for the parameters of the Weibull distribution are discussed for the new censoring scheme. A numerical example is provided to illustrate the proposed censoring scheme. Some simulation results are presented and used to assess the performance of the proposed estimation methods developed here. The expected time required to complete the proposed life test plan is derived. Finally, a numerical study for comparing among different censoring schemes in terms of expected test time is given.