| φ—混合序列下回归函数估计的相合性 |
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| 引用本文： | 孙道德. φ—混合序列下回归函数估计的相合性[J]. 阜阳师范学院学报(自然科学版), 1994, 0(2): 67-77 |
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| 作者姓名： | 孙道德 |
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| 作者单位： | 安徽阜阳师院数学系 236032 |
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| 摘 要： | 本文在样本序列{(X_n,Y_n),n≥1}为φ-混合的,平稳的情形下讨论了回归函数m(x)的最近邻估计m_n(x)的L_p相合性和强相合性,并给出了它在非参数k_n-NN判别中的一个应用。
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| 关 键 词： | 平稳 Φ-混合序列 回归函数 近邻估计 相合性 |
Consistence of Regression Function Estimate in Φ-mixed Sequence |
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| Sun Dao-de. Consistence of Regression Function Estimate in Φ-mixed Sequence[J]. Journal of Fuyang Teachers College:Natural Science, 1994, 0(2): 67-77 |
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| Authors: | Sun Dao-de |
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| Affiliation: | Fu Yang teacher's college An Hui 236032 |
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| Abstract: | In this paper, we had discussed problem of Lp consistence and strong consistence of most nearby estimate m_n(x) of regressing function m(x) in Φ-mixed and stationary sample sequence {(x_n, Y_n), n≥1} and gave an application in Nonparametric test of k_n-NN. |
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| Keywords: | stationary φ-mixed sequence regression funtion nearby estimate consistence |
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