INADMISSIBILITY

作品数：6被引量：4H指数：1
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相关领域：自然科学总论更多>>
相关期刊：《Acta Mathematicae Applicatae Sinica》《Science Bulletin》《Communications in Mathematics and Statistics》《Journal of Systems Science & Complexity》更多>>
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Estimating an Exponential Scale Parameter Under Double Censoring
《Communications in Mathematics and Statistics》2019年第3期309-328,共20页Yogesh Mani Tripathi Constantinos Petropoulos Farha Sultana 
We consider estimation of the scale parameter of a two-parameter exponential distribution on the basis of doubly censored data.Classes of estimators,improving upon the minimum risk equivariant estimator,are derived un...
关键词：Brewster-Zidek estimator Censored samples Equivariant estimator INADMISSIBILITY Stein-type estimator 
Estimator of Scale Parameter in a Subclass of the Exponential Family under Symmetric Entropy Loss被引量：2
《Northeastern Mathematical Journal》2008年第5期447-457,共11页徐宝 王德辉 王瑞庭 
The SRFDPHE(20070183023);the NSF(10571073,J0630104)of China
In this paper we investigate the estimator for the rth power of the scale parameter in a class of exponential family under symmetric entropy loss L（θ, δ） = v（θ/δ ＋ δ/θ - 2）. An exact form of the minimum ris...
关键词：symmetric entropy loss minimum risk equivariant estimator Bayes estimator MINIMAXITY admissible estimator INADMISSIBILITY 
IMPROVED ESTIMATION OF THE GENERALIZED PRECISION UNDER THE ENTROPY LOSS被引量：1
《Acta Mathematicae Applicatae Sinica》2000年第2期162-170,共9页孙孝前 彭运佳 
the National Natural Science Foundation of China;Now at Department of Mathematics, Huaiyin Teachers' College, Jiangsu, China
Let X_1,...,Xn. be a random sample from multivariate normal distribution Np(μ,∑), where μ∈Rp and E is a positive definite matrix, both p and ∑ being unknown. It is shown that for the entropy loss L(δ, |∑| ^(- 1...
关键词：Best affine equivariant estimator generalized precision INADMISSIBILITY entropy loss 
INADMISSIBILITY AND ADMISSIBILITY RESULTS FOR UNBIASED LOSS ESTIMATORS BASED ON GAUSS-MARKOV ESTIMATORS
《Acta Mathematicae Applicatae Sinica》1993年第3期281-288,共8页吴启光 
This project is supported by the National Natural Science Foundation of China
Let Y be distributed according to an n-variate normal distribution with a mean Xβ and a nonsingular covariance matrix σ~2V,where both X and V are known,β∈R^p is a parameter,σ>0 is known or unknown.Denote β=(X'V-...
ON INADMISSIBILITY OF SOME USUAL ESTIMATORS OF LOSS INCURRED IN ESTIMATING ERROR VARIANCE
《Systems Science and Mathematical Sciences》1993年第2期106-110,共5页WU Qiguang Institute of Systems Science, Academia Sinica, Beijing 100080, China 
Supported by National Natural Science Foundation of China.
Under multivariant normal linear models, it is proved that usual loss estima-tors based on the uniformly minimum variance unbiased estimator and the best affinelyequivariant estimator of error variance are inadmissibl...
关键词：NORMAL linear model unbiassed LOSS ESTIMATOR squared error LOSS 
INADMISSIBILITY OF THE USUAL ESTIMATOR FOR THE LOCATION PARAMETERS OF SPHERICALLY SYMMETRIC DISTRIBUTIONS被引量：1
《Chinese Science Bulletin》1989年第7期533-537,共5页范剑青 方开泰 
Project supported by the National Natural Science Foundation of China.
I. INTRODUCTIONIt is well-known that the usual estimator, the sample mean, for the mean of a multivariate normal distribution is inadmissible. After the improvement of the original proof, several concise proofs are pr...
关键词：INADMISSIBILITY MINIMAX ESTIMATOR QUADRATIC loss spherically symmetric distributions. 
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