This article proposes some related issues to classification problem by Bayesian method for two populations.They are relationships between Bayes error(BE)and other measures and the results for determining the BE.In add...This article proposes some related issues to classification problem by Bayesian method for two populations.They are relationships between Bayes error(BE)and other measures and the results for determining the BE.In addition,we propose three methods to find the prior probabilities that can make to reduce BE.The calculation of these methods can be performed conveniently and efficiently by the MATLAB procedures.The new approaches are tested by the numerical examples including synthetic and benchmark data and applied in medicine and economics.These examples also show the advantages of the proposed methods in comparison with existing methods.展开更多
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...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 terms of the Bayes mean square error matrix （BMSEM） criterion and Pitman closeness （PC） criterion.展开更多
文摘This article proposes some related issues to classification problem by Bayesian method for two populations.They are relationships between Bayes error(BE)and other measures and the results for determining the BE.In addition,we propose three methods to find the prior probabilities that can make to reduce BE.The calculation of these methods can be performed conveniently and efficiently by the MATLAB procedures.The new approaches are tested by the numerical examples including synthetic and benchmark data and applied in medicine and economics.These examples also show the advantages of the proposed methods in comparison with existing methods.
基金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.
文摘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 terms of the Bayes mean square error matrix （BMSEM） criterion and Pitman closeness （PC） criterion.
