Strong consistency of non parametric kernel regression estimator for strong mixing samples |
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| Authors: | Xiutao Yang Xin Yang |
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| Institution: | 1. Department of Natural Science Teaching, Haikou College of Economics, Haikou, Hainan, China;2. Department of Mathematics, Guilin University of Aerospace Technology, Guilin, Guangxi, China |
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| Abstract: | For α-mixing samples, we study Priestley–Chao kernel estimator for non parametric regression model. By using the moment inequality and the exponential inequality, the strong consistency and the uniformly strong consistency of the estimator are obtained for some weak conditions. |
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| Keywords: | α-Mixing samples non parametric regression Priestley–Chao estimator strong consistency |
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