School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
Copyright © 2010 Ke-Ang Fu. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be a -statistic based on a symmetric kernel and i.i.d. samples . In this paper, the exact moment convergence rates in the law of the iterated logarithm and the
law of the logarithm of are obtained, which extend previous results concerning partial sums.