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A Procedure for the Sequential Interval Estimation of the Shape Parameter of the Gamma Distribution

 

作者: PeterC. O'brien,  

 

期刊: Technometrics  (Taylor Available online 1973)
卷期: Volume 15, issue 3  

页码: 563-569

 

ISSN:0040-1706

 

年代: 1973

 

DOI:10.1080/00401706.1973.10489083

 

出版商: Taylor & Francis Group

 

关键词: Sequential Estimation;Sequential Confidence Intervals;Gamma Distribution;Coefficient of Variation

 

数据来源: Taylor

 

摘要:

A procedure for interval estimation of the shape parameter of the gamma distribution is proposed which enables the experimenter to obtain upper and lower confidence limits after each observation is sampled. An approximate lower bound for the probability that the resulting sequence of confidence intervals will contain the shape parameter is obtained. The proposed procedure may be useful in estimating the coefficient of variationassociated with non-negative variables whose distribution is skewed to the right. Comparisons with a single sample procedure are discussed.

 

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