文章基本信息

标题：Estimation of a distribution from data with small measurement errors
本地全文：下载
作者：Ann-Kathrin Bott ; Luc Devroye ; Michael Kohler 等
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2013
卷号：7
页码：2457-2476
DOI：10.1214/13-EJS850
语种：English
出版社：Institute of Mathematical Statistics
摘要：In this paper we study the problem of estimation of a distribution from data that contain small measurement errors. The only assumption on these errors is that the average absolute measurement error converges to zero for sample size tending to infinity with probability one. In particular we do not assume that the measurement errors are independent with expectation zero. Throughout the paper we assume that the distribution, which has to be estimated, has a density with respect to the Lebesgue-Borel measure.