%0 Journal Article
%T The Convergence Rates for Empirical Bayes Test of the Parameter in Scale Exponential Family<br>刻度指数族参数的经验Bayes检验的收敛速度
%A WEI Li
%A KONG Sheng-Chun
%A WEI Lai-Sheng
%A <br>魏莉
%A 孔胜春
%A 韦来生
%J 中国科学院研究生院学报
%D 2007
%I 
%X In this paper, the empirical Bayes (EB) test problem of the parameter for scale exponential family under weighed linear loss functions is discussed.The EB test rules is constructed by the kernel estimation method based on Bessel functions.Under suitable conditions the proposed EB test rules are asymptotically optimal with the convergence rate O(n -1 (ln n)6). Finally,an example satisfying the conditions of the theorem is shown.
%K Scale exponential family
%K empirical Bayes test
%K Bessel function
%K convergence rate<br>刻度指数族
%K 经验Bayes检验
%K Bessel函数
%K 收敛速度
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=0CC9B23AC65F8570&yid=A732AF04DDA03BB3&vid=B91E8C6D6FE990DB&iid=CA4FD0336C81A37A&sid=9CF7A0430CBB2DFD&eid=BCA2697F357F2001&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=12