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正態(tài)模型刻度參數(shù)的經(jīng)驗(yàn)貝葉斯估計(jì)(1)(留存版)

  

【正文】 The theoretical Bayes evaluation was indicated by using X marginal distribute density function and its first order derivative . Using the past sample value (x1 x2….xn) and present value x , bined with kernel estimation method to construct relevant function to replace the function in Bayes evaluation , the parameter by empirical Bayes was obtained . It was proved that the proposed estimator was an asymptotical optimal EB estimator. Key words: general normal mode parameter empirical Bayes kernel estimation asymptotical optimality 一、問(wèn)題的提出 Bayes統(tǒng)計(jì)推斷原則:對(duì)參數(shù)所作任何推斷必須基于且只能基于的后驗(yàn)分布,即后驗(yàn)密度函數(shù)族,它依賴于的先驗(yàn)分布,而先驗(yàn)分布往往很難確定,1955年R0bbins提出了經(jīng)驗(yàn)貝葉斯(EB)方法.自這種方法提出以來(lái),EB估
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