| 非参数估计中核估计的构造及相合性 |
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| 引用本文： | 刘海燕,赵联文.非参数估计中核估计的构造及相合性[J].西南交通大学学报,1999,34(3):360-364. |
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| 作者姓名： | 刘海燕 赵联文 |
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| 作者单位： | 西南交通大学,应用数学系,成都,610031 |
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| 摘 要： | 讨论了非参数估计中的核估计方法，对于相互独立同分布的随机变量的密度函数引进了新的估计量方法，并且讨论了此估计的量的逐点相合性，求出了未知密度函数的区间估计，最优窗宽。
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| 关 键 词： | 非参数估计 偏差 相合性 核估计 区间估计 |
Structure and Consistent of the Non-Parametric Kernel Density Estimation |
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| Liu Haiyan,Zhao Lianwen.Structure and Consistent of the Non-Parametric Kernel Density Estimation[J].Journal of Southwest Jiaotong University,1999,34(3):360-364. |
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| Authors: | Liu Haiyan Zhao Lianwen |
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| Abstract: | A kind of kernel density estimation method is discussed in non parametric statistics for independently and identically distributed random variable of density. In this discussion, a new estimation value method is introduced; then, the method's consistency, the stability, the optimal bandwidth, and asymptotic confidence interval of f(x) are obtained. |
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| Keywords: | non parametric estimation deviations consistency kernel density estimation |
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