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  • 标题:Uniform Bahadur Representation for Local Polynomial Estimates of M-Regression and Its Application to The Additive Model
  • 本地全文:下载
  • 作者:Efang Kong ; Oliver Linton ; Yingcun Xia
  • 期刊名称:Japanese Studies Programme Papers
  • 出版年度:2009
  • 出版社:Suntory Toyota International Centres for Economics and Related Disciplines
  • 摘要:We use local polynomial fitting to estimate the nonparametric M-regression function for strongly mixing stationary processes ....,.... . We establish a strong uniform consistency rate for the Bahadur representation of estimators of the regression function and its derivatives. These results are fundamental for statistical inference and for applications that involve plugging such estimators into other functional where some control over higher order terms are required. We apply our results to the estimation of an additive M-regression model
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