| 基于R~d上核密度估计的对称检验的大偏差（英文） |
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| 引用本文： | 徐明周,周永正.基于R~d上核密度估计的对称检验的大偏差（英文）[J].应用概率统计,2015,31(3):238-246. |
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| 作者姓名： | 徐明周 周永正 |
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| 作者单位： | 景德镇陶瓷学院信息工程学院 |
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| 摘 要： | 设f_n是基于一个核函数K和取值于R~d的独立同分布随机变量列的一个非参数核密度估计.本文推广了在He和Gao(2008)中相应大偏差的结果,即证明统计量sup x∈Rd|f_n(x)-f_n(-x)|的大偏差.
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| 关 键 词： | 对称检验 核密度估计 大偏差 |
Large Deviations for a Test of Symmetry based on Kernel Density Estimator in R^d |
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| Xu Mingzhou,Zhou Yongzheng.Large Deviations for a Test of Symmetry based on Kernel Density Estimator in R^d[J].Chinese Journal of Applied Probability and Statisties,2015,31(3):238-246. |
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| Authors: | Xu Mingzhou Zhou Yongzheng |
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| Institution: | School of Information and Engineering, Jingdezhen Ceramic Institute |
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| Abstract: | Let  be a non-parametric kernel density estimator based
on a kernel function  and a sequence of independent and identically distributed
random variables taking values in  . The goal of this article is to extend
the large deviations results in He and Gao (2008), i.e., to prove large deviations for
the statistic -f_n(-x)|$) . |
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