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Estimation of the two-parameter bathtub-shaped lifetime distribution with progressive censoring

Shuo-Jye Wu

Journal of Applied Statistics, 2008, vol. 35, issue 10, 1139-1150

Abstract: In this paper, we investigate the estimation problem concerning a progressively type-II censored sample from the two-parameter bathtub-shaped lifetime distribution. We use the maximum likelihood method to obtain the point estimators of the parameters. We also provide a method for constructing an exact confidence interval and an exact joint confidence region for the parameters. Two numerical examples are presented to illustrate the method of inference developed here. Finally, Monte Carlo simulation studies are used to assess the performance of our proposed method.

Keywords: confidence interval; hazard function; joint confidence region; maximum likelihood estimator; pivot; progressive type-II censoring (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (11)

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DOI: 10.1080/02664760802264996

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