ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 15-22.

ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY

杨亚宁, 韦来生

Dept. of Math., Univ. of Set. & Tech. of China, Hefei 230026, China

收稿日期:1993-07-25 修回日期:1993-12-20 出版日期:1996-03-25 发布日期:1996-03-25
基金资助:
The project is supported by the National Natural Science Foundation of China.This work is also supported by the Doctoral Program Foundation of the Institute of High Education.

ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY

Yang Yaning, Wei Laisheng

Dept. of Math., Univ. of Set. & Tech. of China, Hefei 230026, China

Received:1993-07-25 Revised:1993-12-20 Online:1996-03-25 Published:1996-03-25
Supported by:
The project is supported by the National Natural Science Foundation of China.This work is also supported by the Doctoral Program Foundation of the Institute of High Education.

摘要/Abstract

摘要： For the multi-parameter discrete exponential family, we construct an empirical Bayes(EB) estimator of the vector-valued parameter θ. under some conditions,this estimator is proved to be asymptotically optimal.

关键词: Empirical Bayes estimation, asymptotically optimal, multi-parameter discrete exp onential family

Abstract: For the multi-parameter discrete exponential family, we construct an empirical Bayes(EB) estimator of the vector-valued parameter θ. under some conditions,this estimator is proved to be asymptotically optimal.

Key words: Empirical Bayes estimation, asymptotically optimal, multi-parameter discrete exp onential family

杨亚宁, 韦来生. ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY[J]. 数学物理学报(英文版), 1996, 16(1): 15-22.

Yang Yaning, Wei Laisheng. ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY[J]. Acta mathematica scientia,Series B, 1996, 16(1): 15-22.

ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY

ASYMPTOTICALLY OPTIMAL EMPIRICAL BAYES ESTIMATION FOR THE PARAMETERS OF MULTI-PARAMETER DISCRETE EXPONENTIAL FAMILY

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