| k－近邻回归估计的泛函中心极限定理 |
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| 引用本文： | 秦更生. k－近邻回归估计的泛函中心极限定理[J]. 应用数学学报, 1995, 0(4) |
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| 作者姓名： | 秦更生 |
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| 作者单位： | 四川大学数学系 |
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| 摘 要： | 本文研究基于随机完全数据和删失数据回归函数的ｋ－近邻估计，在较为一般的条件下证明了估计序列作为由Ｓ（Ｓ Ｒｄ）为指标集的随机过程序列依分布收敛到高斯过程。
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| 关 键 词： | k－近邻估计；完全数据；删失数据；高斯过程 |
FUNCTIONAL CENTRAL LIMIT THEOREM OF k-NN REGRESSION ESTIMATOR |
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| QIN GENGSHENG. FUNCTIONAL CENTRAL LIMIT THEOREM OF k-NN REGRESSION ESTIMATOR[J]. Acta Mathematicae Applicatae Sinica, 1995, 0(4) |
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| Authors: | QIN GENGSHENG |
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| Abstract: | In this paper k-NN estimator of regression function is constructed based on randomly complete data and censored data. Under some mild conditions, it is shown that the sequence of estimator considered as a general sequence of stochastic processes indexed by S(S Rd) converge to a Gaussian processes. |
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| Keywords: | k-NN estimator complete data censored data Gaussian processes |
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