| 误差为鞅差序列的非参数回归模型的完全相合性 |
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| 引用本文： | 屈聪,张水利.误差为鞅差序列的非参数回归模型的完全相合性[J].数学的实践与认识,2021(2):200-205. |
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| 作者姓名： | 屈聪 张水利 |
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| 作者单位： | 平顶山学院数学与统计学院 |
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| 摘 要： | 在误差为鞅差序列的条件下,利用截尾方法及鞅差序列的指数不等式,研究了非参数回归模型P-C估计量的完全收敛性,且得到了完全收敛的收敛速度.
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| 关 键 词： | 鞅差序列 非参数回归模型 完全收敛 P-C估计量 |
The Complete Consistency of Estimator in Nonparametric Regression Model with Martingale Difference Errors |
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| QU Cong,ZHANG Shui-li.The Complete Consistency of Estimator in Nonparametric Regression Model with Martingale Difference Errors[J].Mathematics in Practice and Theory,2021(2):200-205. |
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| Authors: | QU Cong ZHANG Shui-li |
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| Institution: | (College of Mathematics and Statistics,Pingdingshan University,Pingdingshan 467000,China) |
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| Abstract: | In this paper,we establish the complete consistency of the P-C estimator in nonparametric regression model under martingale difference errors,using truncation method and exponential inequalities of martingale difference,and also obtain the rates of complete consistency. |
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| Keywords: | martingale difference sequence nonparametric regression model complete convergence P-C estimator |
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