BAYES

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Biased Learning Creates Overconfidence
《Journal of Systems Science & Complexity》2018年第6期1603-1617,共15页NI Xuanming WU Chen ZHAO Huimin 
supported by the National Natural Science Foundation of China under Grant Nos.71303265and 71573289;the Innovative Research Group Project of National Natural Science Foundation of China under Grant No.71721001
The aim of this paper is to develop a multi-period economic model to interpret how the people become overconfident by a biased learning that people tend to attribute the success to their abilities and failures to othe...
关键词:Bayes'rule biased LEARNING OVERCONFIDENCE 
SAMPLE-SIZE DETERMINATION FOR TWO INDEPENDENT BINOMIAL EXPERIMENTS被引量:1
《Journal of Systems Science & Complexity》2011年第5期981-990,共10页Zhanping ZHAO NianshengTANG Yunxian LI 
This research is supported by the National Natural Science Foundation of China under Grant Nos. 10761011, 10961026, Ph.D. Special Scientific Research Foundation of Chinese University under Grant No. 20060673002, and by program for New Century Excellent Talents in University (NCET-07-0737).
Sample size determination is commonly encountered in modern medical studies for two inde- pendent binomial experiments. A new approach for calculating sample size is developed by combining Bayesian and frequentist ide...
关键词:Bayes factor Bayes posterior decision function binomial proportions power of the mostpowerful test sample-size determination. 
THE SUPERIORITIES OF BAYES LINEAR UNBIASED ESTIMATION IN PARTITIONED LINEAR MODEL被引量:6
《Journal of Systems Science & Complexity》2011年第5期945-954,共10页Weiping ZHANG Laisheng WEI Yu CHEN 
This research is supported by National Natural Science Foundation of China under Grant Nos. 10801123, 10801124 and 10771204, and the Knowledge Innovation Program of the Chinese Academy of Sciences under Grant No. KJCX3-SYW-S02.
In this article, the Bayes linear unbiased estimation (BALUE) of parameters is derived for the partitioned linear model. The superiorities of the BALUE over ordinary least square estimator (LSE) are studied in ter...
关键词:Bayes linear unbiased estimation Bayes mean square error matrix criterion least squareestimation partitioned linear model Pitman closeness criterion. 
DIAGNOSTICS FOR EMPIRICAL BAYES MODELS
《Systems Science and Mathematical Sciences》1999年第2期104-114,共11页SHI Jianqing WAN Fanghuan(Department of Mathematics, Southeast University, Nanjing 210018, China) 
In this paper, we study the diagnostic problems of parametric empirical Bayes models systematically. Cook’s distance and Kullback-Leibler divergence are used to measure the effect of each individual observation, and ...
关键词:Cook’s DISTANCE Local influence Kullback-Leibler DIVERGENCE PARAMETRIC empirical BAYES model. 
THE ASYMPTOTICALLY OPTIMAL EMPIRICALBAYES ESTIMATION IN ONE WAY ANOVA MODEL被引量:1
《Systems Science and Mathematical Sciences》1999年第1期13-22,共10页WEI Laisheng (Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, China) 
Consider the one-way analysis of variance (ANOVA) model Yij=μ+αi+∈ij,i=1,…,a; j = 1,…,b, ∈ij~N(0, σ2). By using the kernel estimation of multivariate density function and its partial derivatives and making use...
关键词:ASYMPTOTIC OPTIMALITY empirical BAYES estimation ONE WAY ANOVA model. 
ON THE BEST UNIFORM CONVERGENCE RATE OF EB ESTIMATORS
《Systems Science and Mathematical Sciences》1995年第1期52-56,共5页LIANG Hua (Institute of Systems Science, Academia Sinica, Beijing 100080, China)YUAN Yahua (Department of Arizona State University, Az 85287-1804, U.S.A.) 
ONTHEBESTUNIFORMCONVERGENCERATEOFEBESTIMATORSLIANGHua(InstituteofSystemsScience,AcademiaSinica,Beijing100080...
关键词:Empirical BAYES ESTIMATORS best UNIFORM CONVERGENCE rate. 
ESTIMATING THE NONCENTRALITY PARAMETER OF A t-DISTRIBUTION
《Systems Science and Mathematical Sciences》1992年第1期1-8,共8页Andrew L.Rukhin 
Research Supported by NSF Grant DMS-8803259
Inadmissibility of a traditional class of noncentrality parameter esti-mators under quadratic loss is established.The result is heuristically motivatedby the form of generalized Bayes estimators and is proved via unbi...
关键词:Point estimation NORMAL parameters noncentral T-DISTRIBUTION QUADRATIC ADMISSIBILITY generalized BAYES ESTIMATORS Ricatti differential equation 
CORRECTED PROOF OF A THEOREM CONCERNING A CONJECTURE OF SINGH
《Systems Science and Mathematical Sciences》1990年第4期337-340,共4页陈希孺 陶波 
A theorem concerning a conjecture of Singh is formulated in[2].But the argumentin [2] contains a serious gap which is in fact the essential point of the proof.A correct proofis presented here.
关键词:Empirical BAYES estimation EXPONENTIAL families squared error loss convergence RETE CONJECTURE of Singh 
SEVERAL RESULTS ON ESTIMATION OF PARAMETERS UNDER MATRIX LOSS FUNCTION
《Systems Science and Mathematical Sciences》1990年第1期83-96,共14页吴启光 
Supported by Science Fund of Academia Sinica
In this paper,the definitions of Bayes estimator,minimax estimator,minimumrisk equivariant estimator and admissible estimator under the general matrix loss functionare given.Several results on estimation of parameters...
关键词:Matrix loss function BAYES ESTIMATORS MINIMAX ESTIMATORS minimum risk equivaria NT ESTIMATORS ADMISSIBLE ESTIMATORS 
EB RULES FOR SELECTING THE BEST EXPONENTIAL POPULATION
《Systems Science and Mathematical Sciences》1989年第4期317-324,共8页高集体 
Supported by the National Natural Science Foundation of China
In this paper,we obtain empirical Bayes(EB)procedures for selecting the bestamong k different exponential populations(the form of the conditional probability densitye.g.each population is f4(xi
关键词:Empirical BAYES RULES EXPONENTIAL POPULATION asympotic optimal CONVERGENCE rates 
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