%0 Journal Article
%T APPROXIMATE FIDUCIAL INFERENCE FOR BINOMIAL DISTRIBUTIONS BASED ON THE LOGIT TRANSFORMATION
二项分布基于logit变换的近似信仰推断
%A XIONG Shifeng
%A MU Weiyan
%A
熊世峰
%A 牟唯嫣
%J 系统科学与数学
%D 2009
%I
%X In this paper, an approximate pivotal equation is constructed for a binomial distribution based on asymptotic normality of a modefied-logit-transformed estimator. Then an approximate fiducial distribution of the binomial parameter is obtained. Numerical results for one-sample cases and two-sample cases show that the interval estimators derived by the approximate fiducial distribution have better finite-sample frequentist properties than those suggested in the literature.
%K Binomial
%K fiducial inference
%K pivotal equation
%K frequentist property
%K logit transformation
二项分布
%K 信仰推断
%K 枢轴方程
%K 频率性质
%K logit
%K 变换.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=B2EDB3B695FB469D875A123B0999D2BC&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=5D311CA918CA9A03&sid=5DD55A2029F498FE&eid=818971F8BC8F9389&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=7