| 随机删失下概率密度核估计的光滑Bootstrap逼近 |
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| 引用本文： | 王启华. 随机删失下概率密度核估计的光滑Bootstrap逼近[J]. 应用数学学报, 1997, 20(3): 367-377 |
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| 作者姓名： | 王启华 |
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| 作者单位： | 中国科学院应用数学研究所!北京，100080 |
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| 摘 要： | 本文研究随机删失概率密度估计的光ｂｏｏｔｓｔｒａｐ逼近。给出了光滑ｂｏｏｔｓｔｒａｐ逼近成立的充分条件，并证明了概率密度的光滑ｂｏｏｔｓｔｒａｐ估计方差几乎处处收敛到概率密度核估计的渐近方差。
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| 关 键 词： | 随机删失 概率密度 核估计 Bootstrap逼近 |
THE SMOOTHED BOOTSTRAP APPROXIMATION FOR THE KERNEL ESTIMATOR OF PROBABILITY DENSITY UNDER RANDOM CENSORSHIP |
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| WANG QIHUA. THE SMOOTHED BOOTSTRAP APPROXIMATION FOR THE KERNEL ESTIMATOR OF PROBABILITY DENSITY UNDER RANDOM CENSORSHIP[J]. Acta Mathematicae Applicatae Sinica, 1997, 20(3): 367-377 |
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| Authors: | WANG QIHUA |
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| Abstract: | This paper investigates the smoothed bootstrap approximation for the kernel estimator fn(t) of probability density. The sufficient conditions for the smoothed bootstrap approximation to be valid is established. Moreover, it is shown that the variance of the smoothed bootstrap estimator f(t) converges to the asympototic variance of fn(t) almost surely. |
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| Keywords: | Random censorship kernel density estimator smoothed bootstrap |
| 本文献已被 CNKI 维普 等数据库收录！ |
