LAWS OF THE ITERATED LOGRITHM FOR KERNEL ESTIMATOR OF DENSITY FUNCTION OF SPHERICAL DATA
方向数据密度函数核估计的重对数律

In this article, we consider the problem of pointwise convergence rates for density kernel estimator based on directional data. Under mild conditions, we obtain its pointwise best convergence rates by establishing laws of the iterated logarithm for this estimator.