随机截断数据非参数密度估计重对数律的充分和必要条件

NECESSARY AND SUFFICIENT CONDITIONS FOR A LAWS OF THE LITERATED LOGARITHM FOR NON-PARAMETRIC DENSITY ESTIMATORS WITH RANDOM CENSORED DATA

本文利用一种直接的方法,无需通过经验过程的强逼近,建立了随机截断数据情形下,非参数密度估计重对数律的充分和必要条件,大大地改善了已有的相应的结果。

In this papr,we establish necessary and sufficient conditions for a lawsof the Ltarated logarithm for nonparametric density estimators with randomCensored data.