Interval Estimation of the Weibull Distribution under the Failure-Censored Sampling Plan

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Title:	Interval Estimation of the Weibull Distribution under the Failure-Censored Sampling Plan
Authors:	Wu, Jong-wuu;Lin, Shang-hsien
Contributors:	淡江大學統計學系
Keywords:	Rupture;Reliability;Weibull distribution;Extreme value;Confidence interval
Date:	2001-06
Issue Date:	2009-11-30 12:56:02 (UTC+8)
Publisher:	淡江大學
Abstract:	In this paper, we provide a method for constructing an exact confidence interval for the shape parameter and an exact joint confidence region for the shape and scale parameters of the Weibull distribution under the failure-censored sampling plan. The above joint confidence region is used to obtain a conservative lower confidence bound for the reliability function. Further, an exact confidence interval and an exact joint confidence region for some interested parameters of the type I Extreme-Value distribution are also given. In addition, under the failure-censored sampling plan, we provide optimal criteria to find a best exact confidence interval for the shape parameter and a best exact joint confidence region for the shape and scale parameters. Finally, we give two examples to illustrate the proposed method.
Relation:	International journal of information and management Sciences 12(2), pp.39-50
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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