Far East Journal of Theoretical Statistics
Volume 32, Issue 1, Pages 25 - 34
(July 2010)
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ESTIMATIONS OF THE PARAMETERS OF THE EXTREME LOWER BOUND DISTRIBUTION WITH PROGRESSIVELY CENSORED DATA
M. M. Mohie El-Din, Y. Abdel-Aty and Fathy H. Riad
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Abstract: In this paper, we have calculated estimation results concerning a progressively type II censored sample from a three parameter extreme lower bound. The maximum likelihood method is used to obtain the point estimators of the parameters. An exact confidence interval and an exact joint confidence region for the parameters are constructed. A numerical example is presented to illustrate the methods proposed here. |
Keywords and phrases: confidence interval, joint confidence region, maximum likelihood estimator, progressively type II censored sample. |
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