摘要
In this paper, we investigate the nonparametric regression model based on ρ-mixing errors, which are stochastically dominated by a nonnegative random variable. Weobtain the convergence rate for the weighted estimator of unknown function g（x） in pth-mean, which yields the convergence rate in probability. Moreover, an example of the nearestneighbor estimator is also illustrated and the convergence rates of estimator are presented.
In this paper, we investigate the nonparametric regression model based on -mixing errors, which are stochastically dominated by a nonnegative random variable. We obtain the convergence rate for the weighted estimator of unknown function g(x) in pthmean, which yields the convergence rate in probability. Moreover, an example of the nearest neighbor estimator is also illustrated and the convergence rates of estimator are presented.
基金
Supported by National Natural Science Foundation of China(11426032,11501005)
Natural Science Foundation of Anhui Province(1408085QA02,1508085QA01,1508085J06)
Provincial Natural Science Research Project of Anhui Colleges(KJ2014A010,KJ2014A020,KJ2015A065)
Higher Education Talent Revitalization Project of Anhui Province(2013SQRL005ZD)
Quality Engineering Project of Anhui Province(2015jyxm054,2015jyxm057)
Students Science Research Training Program of Anhui University(KYXL2014016,KYXL2014013)
Applied Teaching Model Curriculum of Anhui University(XJYYKC1401,ZLTS2015052,ZLTS2015053)
Doctoral Research Start-up Funds Projects of Anhui University
