An empirical Bayes（EB）two-sided test problem about the continuousone-parameter exponential family has been discussed.We construct the EB test decisionrule and prove its asymptotical optimality.Further,we get its con...An empirical Bayes（EB）two-sided test problem about the continuousone-parameter exponential family has been discussed.We construct the EB test decisionrule and prove its asymptotical optimality.Further,we get its convergence ratesO(n<sup>-（λ（s-2））/（2s+1）</sup>under suitable conditions,where 0【λ【2,and s】2 is a given natural number.Finally,some examples about the result of the convergence rates are given.展开更多
基金project supported by National Natural Science Foundation of China
文摘An empirical Bayes（EB）two-sided test problem about the continuousone-parameter exponential family has been discussed.We construct the EB test decisionrule and prove its asymptotical optimality.Further,we get its convergence ratesO(n<sup>-（λ（s-2））/（2s+1）</sup>under suitable conditions,where 0【λ【2,and s】2 is a given natural number.Finally,some examples about the result of the convergence rates are given.
