φ-混合删失模型中核密度估计的 Berry-Esseen界

摘要

In this paper,the estimation of a density function is studied based on censored data by kernel smoothing meth-od when the survival and censoring times form a stationary φ-mixed sequence.By the inequality of probability density function ofφ-mixing sequence,under some conditions,a Berry-Esseen type bound is obtained for the kernel density es-timator of the probability density function.%在生存时间与删失时间为φ-混合序列的情况下，研究了随机删失模型概率密度函数的核估计，利用φ-混合序列的概率不等式等研究方法，在一定的条件下，获得了此核估计的Berry-Esseen界。