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Efficient Estimation of P(Y < X) in the Exponential Case

 

作者: GaryD. Kelley,   JudyA. Kelley,   W.R. Schucany,  

 

期刊: Technometrics  （Taylor Available online 1976）
卷期: Volume 18, issue 3  

页码: 359-360

 

ISSN:0040-1706

 

年代: 1976

 

DOI:10.1080/00401706.1976.10489457

 

出版商: Taylor & Francis Group

 

关键词: Exponential Distribution;Maximum Likelihood;Minimum Variance;Relative Efficiency

 

数据来源: Taylor

 

摘要:

The minimum variance unbiased estimator ofP(Y<X) has been given for the situation in whichXandYare independently exponentially distributed. Using the rccacnt results of Blight and Rao [2] the variance of the UMVU estimator is derived. The mean-square error of the maximum likelihood estimator is obtained and used for comparison with the variance of the UMVUE.

 

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