Limit behaviors of the estimator of nonparametric regression model based on martingale difference errors |
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| Authors: | Shuili Zhang Yu Miao Xiaoyan Xu Qinghui Gao |
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| Institution: | 1. College of Mathematics and Statistics, Pingdingshan University, Henan Province, 467000, China;2. College of Mathematics and Information Science, Henan Normal University, Henan Province, 453007, China |
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| Abstract: | In the paper, we shall establish some limit theorems for the nonparametric estimator of the regression model, which include -convergence, complete convergence, and strong convergence of the estimator. These results supplement and improve some known works. |
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| Keywords: | 62G05 62G08 60E15 Regression model Martingale difference Estimator Consistency |
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