| ON COMPLETE CONVERGENCE OF NONPARAMETRIC REGRESSION M-QUANTILES |
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| 作者姓名： | CAI Zongwu |
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| 作者单位： | Department of Mathematics，Hangzhou University，Hangzhou 310028，China |
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| 基金项目： | Supported by Fok Yingtung Education Fund,the National Natural Science Foundation of China and Zhejiang Province |
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| 摘 要： | Consider the nonparametric regression model Y_i=m(x_i)+ε_i,i=1,…,n,where m(?)is an unknown function,and the design points x_i are knownand nonrandom.The robust nonparametric estimators were introduced by H(?)rdleand Gasser in 1984.These estimators can be viewed as regression M-quantiles.We then establish complete convergence for such quantiles under only the finitemoment condition.
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ON COMPLETE CONVERGENCE OF NONPARAMETRIC REGRESSION M-QUANTILES |
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| CAI Zongwu.ON COMPLETE CONVERGENCE OF NONPARAMETRIC REGRESSION M-QUANTILES[J].Journal of Systems Science and Complexity,1992(3). |
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| Authors: | CAI Zongwu |
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| Abstract: | |
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| Keywords: | Nonparametric kernel type estimator M-smoother quantile complete convergence |
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