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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.
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Moderate Deviations in L_1(\mathbb{R}^d) for a Test of Symmetry Based on Kernel Density Estimator
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.
Authors:XU Mingzhou  DING Yunzheng  ZHOU Yongzheng
Institution:School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen, 333403, China
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),\,n\ge1\}.
Keywords:symmetry test  kernel density estimator  moderate deviations  
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