CAJ | 학술논문

文章在加权线性损失下讨论了带有非随机缺失数据连续型单参数指数族分布参数的经验 Bayes检验问题。利用非参数插补的方法，重新构造了参数的经验 Bayes 检验函数，在适当的条件下证明了所提出的经验Bayes检验函数的渐近最优性，并获得了它的收敛速度。
문장재가권선성손실하토론료대유비수궤결실수거련속형단삼수지수족분포삼수적경험 Bayes검험문제。이용비삼수삽보적방법，중신구조료삼수적경험 Bayes 검험함수，재괄당적조건하증명료소제출적경험Bayes검험함수적점근최우성，병획득료타적수렴속도。
In this paper,by nonparametric imputation in the case of missing data at non-random,the empirical Bayes test rule for the continuous one-parameter exponential family with missing data is con-structed under weighted linear loss function.The asymptotically optimal property and convergence rates for the proposes EB test are obtained under suitable conditions.