%0 Journal Article
%T Bias Reduction Methods for the Extrema of Certain ConditionalSample Functions<br>样本函数条件极值中减低偏差的方法
%A Wu Jianguo
%A <br>吴建国
%J 系统科学与数学
%D 2007
%I 
%X The order of bias term in the conditional extrema of sample functions is analyzed and some methods for bias reduction are discussed in this paper. It comes to a conclusion that it is not enough for bias reduction while using the classical jackknife or delete-d jackknife method. On the basis of that, a bootstrapping method for bias reduction is mentioned and it is proven that $\theta_{nab}$is a better estimator in the sense of {\rm mse}
%K Extrema of sample functions
%K asymptotic bias
%K jackknifing
%K bootstrapping<br>样本函数极值
%K 渐近偏差
%K 折刀法
%K 自助法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=7BCE0FCA48B87F1EF31EBDE46DB3972D&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=E158A972A605785F&sid=0A8675156EB60B87&eid=3B2BF7AC5674E8E2&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=9