Point and interval estimations for the Gompertz distribution under progressive type-II censoring

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Title:	Point and interval estimations for the Gompertz distribution under progressive type-II censoring
Authors:	Wu, Shuo-jye;Chang, Chun-tao;Tsai, Tzong-ru
Contributors:	淡江大學統計學系
Keywords:	Confidence interval;Joint confidence region;Maximum likelihood estimator;Pivot;Progressively type-II censored sample
Date:	2003-12
Issue Date:	2009-12-30 15:00:05 (UTC+8)
Publisher:	Italy: Metron Journal
Abstract:	We obtain estimation results concerning a progressively type-II censored sample from the Gompertz distribution. The maximum likelihood method is used to derived the point estimators of the parameters of the Gompertz distribution. An exact confidence interval and an exact joint confidence region for the parameters of the Gompertz distribution are constructed. Two numerical examples are presented to illustrate the methods of inference developed here. Simulation results show that the coverage probabilities of the exact confidence interval and the exact joint confidence region are all close to the desired level.
Relation:	Metron 61(3), pp.403-418
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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