| A LAW OF THE ITERATED LOGARITHM FOR NEIGHBOR-TYPE REGRESSION FUNCTION ESTIMATOR |
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| 作者姓名： | Hong Shengyan |
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| 作者单位： | Department of |
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| 摘 要： | Let (X, Y) be a two-dimensional random variable. A law of the iterated logarithm is established for a smoothed neighbor-typo estimator of the regression function m(x)=E(Y|X=x) under conditions much weaker than needed for the Nadaraya-Watson estimator. Also the sharp pointwise rates of strong consistency of this estimator is discussed in detail.
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| 收稿时间： | 1990/3/27 0:00:00 |
A LAW OF THE ITERATED LOGARITHM FOR NEIGHBOR-TYPE REGRESSION FUNCTION ESTIMATOR |
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| Institution: | Department of Mathematics,Anhui University,Hefei,Anhui 230039,China. |
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| Abstract: | Let (X,Y) be a two-dimensional random variable.A law of the iterated logarithm is established for a smoothed neighboe-type estimator of the regression function $m(x)=E(Y|X=x)$ under conditions much weaker than needed for the Nadaraya-Watson estimator.Also the sharp pointwise rates of strong consistency of this estimator is discussed in detail. |
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