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A balanced approach to region estimation with tables for the normal model

 

作者: T. L. Bratcher,   A. Hobbs,   J. Paul,  

 

期刊: Communications in Statistics - Simulation and Computation  (Taylor Available online 1984)
卷期: Volume 13, issue 6  

页码: 801-821

 

ISSN:0361-0918

 

年代: 1984

 

DOI:10.1080/03610918408812416

 

出版商: Marcel Dekker, Inc.

 

关键词: confidence intervals;decision theory;minimum risk;expected size;joint estimation

 

数据来源: Taylor

 

摘要:

Practitioners of statistics are too often guilty of routinely selecting a 95% confidence level in interval estimation and ignoring the sample size and the expected size of the interval. One way to balance coverage and size is to use a loss function in a decision problem. Then either the Bayes risk or usual risk (if a pivotal quantity exists) may be minimized. It is found that some non-Bayes solutions are equivalent to Bayes results based on non-informative priors. The decision theory approach is applied to the mean and standard deviation of the univariate normal model and the mean of the multivariate normal. Tables are presented for critical values, expected size, confidence and sample size.

 

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