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 Statistics, 2015, 31(3): 238-246.
Citation:
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 Statistics, 2015, 31(3): 238-246.
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 Statistics, 2015, 31(3): 238-246.
Citation:
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 Statistics, 2015, 31(3): 238-246.
Large Deviations for a Test of Symmetry based on Kernel Density Estimator in R^d
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 .