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Median Unbiasedness and Pitman Closeness

 

作者: Malay Ghosh,   PranabKumar Sen,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1989）
卷期: Volume 84, issue 408  

页码: 1089-1091

 

ISSN:0162-1459

 

年代: 1989

 

DOI:10.1080/01621459.1989.10478877

 

出版商: Taylor & Francis Group

 

关键词: Ancillary statistics;Equivariant estimators;Location-scale family of distributions;Sufficiency

 

数据来源: Taylor

 

摘要:

Under certain conditions, a median unbiased estimator of a parameter is shown to be the Pitman-closest estimator within a certain class of estimators. For location, scale, or location-scale families of distributions, the class of equivariant estimators possesses some desirable properties; the median-unbiasedness of equivariant estimators is explored in the characterization of the Pitman closeness property. Illustrative examples bear fruitful implications of this characterization.

 

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