| 误差为NOD样本下的非参数回归模型估计的相合性 |
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| 引用本文： | 彭智庆,孙道德.误差为NOD样本下的非参数回归模型估计的相合性[J].阜阳师范学院学报(自然科学版),2013(4):9-11. |
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| 作者姓名： | 彭智庆 孙道德 |
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| 作者单位： | [1]安徽大学数学科学学院,安徽合肥230601 [2]阜阳师范学院计算机与信息学院,安徽阜阳236037 |
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| 基金项目： | 国家自然科学基金数学天元基金项目（11226200）;安徽省教育厅自然科学项目（KJ2013Z254）资助. |
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| 摘 要： | 研究了误差为NOD序列时的非参数回归模型未知函数估计量相合性问题,而NOD序列比NA序列要弱。利用NOD序列的C r不等式,Jensen不等式以及权函数相关性质,证明了其弱相合性。
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| 关 键 词： | NOD序列 非参数回归模型 NA序列 相合性 |
Consistency of estimators in non-parametric regression model based on NOD errors |
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| PENG Zhi-qing,SUN Dao-de.Consistency of estimators in non-parametric regression model based on NOD errors[J].Journal of Fuyang Teachers College:Natural Science,2013(4):9-11. |
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| Authors: | PENG Zhi-qing SUN Dao-de |
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| Institution: | 1. School of Mathematical Sciences, Anhui University, Hefei Anhui 230601, China; 2. School of Computer and Information, Fuyang Teachers College, Fuyang Anhui 236037, China) |
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| Abstract: | Based on NOD errors, where NOD sequence is weaker than NA sequence, the consistency of unknown function g （. ） for the nonparametric regression model is investigated. By using Cr inequality, Jensen inequality, and some properties of weighted functions, we obtained the weak convergence. |
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| Keywords: | NOD sequence non-parametric regression model NA sequences consistency |
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