您的位置:首页  > 论文页面

由Laplace变换构造污染分布的非参数估计量

发表时间:2008-03-15  浏览量:2137  下载量:786
全部作者: 庄新瑞,李波
作者单位: 华中师范大学数学与统计学学院
摘 要: 本文讨论一类特殊污染分布的非参数估计问题。当干扰分布密度函数已知,污染率和主体分布密度函数未知时,根据观测到的污染数据结合Laplace变换的Widder逆变换给出了污染分布密度函数的一个估计,从而在一定条件下分别给出了和的非参数估计。文中并未给出所得估计量的优良性质及其证明,而是对污染指数分布的特例作了数值模拟,结果显示本文的方法至少对部分污染分布是可行的。
关 键 词: 数理统计学;非参数估计;Laplace变换;污染分布;可识别
Title: Nonparametric estimator of contaminated distribution constructed from Laplace transform
Author: ZHUANG Xinrui, LI Bo
Organization: Department of Mathematics & Statistics, Central China Normal University
Abstract: In this paper, the nonparametric problems of a special contaminated distribution are considered. An estimator of is given, based on the Laplace transform Widder inverse transform, when and are unknown but is given. Thus under some special condition, the estimators of and are obtained. The paper doesn't give any good property of the estimator but give an example—contaminated exponential distribution instead to suggests that the new method is feasible at least to some special distribution.
Key words: mathematical statistics; nonparametric estimate; Laplace transform; contaminated distribution; identifiable
发表期数: 2008年7月第5期
引用格式: 庄新瑞,李波. 由Laplace变换构造污染分布的非参数估计量[J]. 中国科技论文在线精品论文,2008,1(5):571-574.
 
7 评论数 0
暂无评论
友情链接