| ���ܶȹ��ƵĶԳƼ�����~$L_1(mathbb{R}^d)$~�µ���ƫ�� |
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| 引用本文： | ������,������,�����. ���ܶȹ��ƵĶԳƼ�����~$L_1(mathbb{R}^d)$~�µ���ƫ��[J]. 应用概率统计, 2019, 35(2): 141-152. DOI: 10.3969/j.issn.1001-4268.2019.02.003 |
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| 作者姓名： | ������ ������ ����� |
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| 作者单位： | ????????????????????, ??????, 333403 |
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| 摘 要： |
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| 关 键 词： | ?????? ???????? ????? |
Moderate Deviations in L_1(mathbb{R}^d) for a Test of Symmetry Based on Kernel Density Estimator |
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| XU Mingzhou,DING Yunzheng,ZHOU Yongzheng. Moderate Deviations in L_1(mathbb{R}^d) for a Test of Symmetry Based on Kernel Density Estimator[J]. Chinese Journal of Applied Probability and Statisties, 2019, 35(2): 141-152. DOI: 10.3969/j.issn.1001-4268.2019.02.003 |
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| Authors: | XU Mingzhou DING Yunzheng ZHOU Yongzheng |
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| Affiliation: | School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403, China |
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| Abstract: | Let f_n be a non-parametric kernel density estimator based on a kernel function K and a sequence of independent and identically distributed random variables taking values in mathbb{R}^d. In this paper we prove two moderate deviation theorems in L_1(mathbb{R}^d) for {f_n(x)-f_n(-x),,nge1}. |
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| Keywords: | symmetry test kernel density estimator moderate deviations |
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