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| 非参数回归函数的kn近邻估计的渐近性质及其Bootstrap逼近 | |
| 引用本文： | 王炳章. 非参数回归函数的kn近邻估计的渐近性质及其Bootstrap逼近[J]. 应用数学学报, 2001, 24(3): 410-417 |
| 作者姓名： | 王炳章 |
| 作者单位： | 烟台大学数学与信息科学系 烟台264005 |
| 摘 要： | 本文研究回归函数的kn-近邻估计的渐近性质，得到了回归函数的kn－近邻估计的渐近正态性和它的Bootstrap统计量的相合性，在高阶矩存在的条件下，我们证明了回归函数的kn-近邻估计的Bootstrap逼近比正态逼近更精确。 |
| 关 键 词： | 回归函数 kn－近邻估计 渐近正态性 Bootstrap逼近 Bootstrap统计量 随机向量 |
ASYMPTOTIC PROPERTIES AND BOOTSTRAP APPROXIMATION OF k_n-NEREST NEIGHBOR ESTIMATES OF REGRESSION FUNCTION |
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| WANG BINGZHANG. ASYMPTOTIC PROPERTIES AND BOOTSTRAP APPROXIMATION OF k_n-NEREST NEIGHBOR ESTIMATES OF REGRESSION FUNCTION[J]. Acta Mathematicae Applicatae Sinica, 2001, 24(3): 410-417 | |
| Authors: | WANG BINGZHANG |
| Abstract: | In this paper, asymptotic properties of kn-nearest neighbor estimator of reg ression function are investigated, its asymptotic normality and Bootstrap consistency are obtained. Under the condition that higher-order moments are existed, we prove that Boot strap approximation of the kn-nearest neighbor estimator of regression function is more presise than normal approximation. |
| Keywords: | Regression function k_n-nearest neighbor estimator asymptotic normality Bootstrap approximation |
| 本文献已被 CNKI 维普 等数据库收录！ | |