α-混合情形非参数密度估计的重对数律

LAWS OF THE ITERATED LOGARITHM FOR NON-PARAMETRIC DENSITY ESTIMATORS OFα-MIXING RANDOM VARIABLES

当样本 X1 ,… ,Xn,… ,是 α-混合时 ,建立了三角数组的重对数律和Rosenblatt- Parzen核估计的重对数律 .

For α mixing sequence X 1…X n…, the law of the iterated logarithm for triangular arrays and Rosenblatt Parzen kernel estimator is obtained.