数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (2): 159-167.
孙东初
Sun Dongchu
摘要： We establish a law of the itearted logarithm for a triangular array of indepentent random variables, and apply it to obtain sharp pointwise rates of strong consistency for a large class of nonparametric estimators of bivariate density and conditional density. We consider the case of double kernel estimators anal trigonometric series estimators in detail.