LOCAL ASYMPTOTIC PROPERTIES OF HAZARD RATE ESTIMATORS FOR TRUNCATED AND CENSORED DATA  

作　　者：SUN Liuquan, WU Guofu, WEI Xianhua (Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) 

出　　处：《Journal of Systems Science & Complexity》2001年第4期413-424,共12页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China.

摘　　要：Functional laws of the iterated logarithm are obtained for cumulative hazard processes in the neighborhood of a fixed point when the data are subject to left truncation and right censorship. On the basis of these results the exact rates of pointwise almost sure convergence for various types of kernel hazard rate estimators are derived.Functional laws of the iterated logarithm are obtained for cumulative hazard processes in the neighborhood of a fixed point when the data are subject to left truncation and right censorship. On the basis of these results the exact rates of pointwise almost sure convergence for various types of kernel hazard rate estimators are derived.

关 键 词：TRUNCATED and censored data hazard rate kernel ESTIMATION nearest NEIGHBOR ESTIMATION law of the ITERATED logarithm. 

分 类 号：O212[理学—概率论与数理统计]