摘要
本文在随机左截断情形下,对非参数光滑PL估计Fn,光滑PL过程n(Fn-F)用光滑经验过程加上一个可忽略的余项来一致地表示.把文献[8]的结果加以改进,使其表示形式在统计意义上更为直观.并得到光滑PL过程的重对数律.
For the nonparametric smooth PL estimator F n , the smooth PL process n(F n-F) can be uniformly represented by a smooth experiential process plus a negligible remainder term when the data are subject to random left truncation. In this paper, we improved the result of Zhou Yang(1996) and made the representation more explicit in statistics. The law of iterated logarithm (LIL) was established from this representation.
出处
《杭州大学学报(自然科学版)》
CSCD
1998年第1期18-23,共6页
Journal of Hangzhou University Natural Science Edition
关键词
光滑PL估计
光滑PL过程
随机截断
分布函数
smooth PL estimator
smooth PL process
experiential process
hazard function