| A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION |
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| 引用本文： | 洪圣岩. A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION[J]. 系统科学与复杂性, 1990, 0(4) |
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| 作者姓名： | 洪圣岩 |
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| 作者单位： | Anhui University |
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| 摘 要： | In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These results give sharp pointwise rates of strong consistency ofthese estimators.
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A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION |
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| Hong Shengyan. A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION[J]. Journal of Systems Science and Complexity, 1990, 0(4) |
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| Authors: | Hong Shengyan |
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| Abstract: | In this paper we study the estimation of the regression function.We establish a law ofthe iterated logarithm for the random window-width kernel estimator and,as an application,fora nearest neighbor estimator.These results give sharp pointwise rates of strong consistency ofthese estimators. |
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| Keywords: | Regression function random window-width kernel estimator nearest neighbor estimator law of the iterated logarithm |
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