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The Estimation of Pr (Y < X) in the Normal Case

 

作者: F. Downton,  

 

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

页码: 551-558

 

ISSN:0040-1706

 

年代: 1973

 

DOI:10.1080/00401706.1973.10489081

 

出版商: Taylor & Francis Group

 

关键词: Unibased Estimation;Normal Distribution;Complete Statistics;Saddle-Point;Approximation;Reliability

 

数据来源: Taylor

 

摘要:

The minimum variance unbiased estimator of Pr {Y<X} under the assumption thatXandYare independently normally distributed is derived. Approximations to this “best” estimator are obtained, and these approximations are suggested as alternatives to the asymptotically equivalent estimator used by Church and Harris (1970) to obtain confidence intervals for that probability.

 

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