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  • 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
  • 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.
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