【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、問題的提出 Bayes統(tǒng)計推斷原則:對參數(shù)所作任何推斷必須基于且只能基于的后驗分布,即后驗密度函數(shù)族,它依賴于的先驗分布,而先驗分布往往很難確定,1955年R0bbins提出了經(jīng)驗貝葉斯(EB)方法.自這種方法提出以來,EB估