CAJ | 학술논문

由于失访、改变治疗方案、研究时间结束时事件尚未发生等情况，所采集的数据中许多应采集而未能采集、应提交而未在一些时点上提交，造成数据不完全，这便产生了删失数据。因此研究删失数据的大样本性质是解决实际问题的关键。本文在｛Xi ，i≥1｝是α混合的随机变量，｛Yi ，i≥1｝是独立同分布的随机变量，且Xi与Yi相互独立的情形下，研究了随机删失数据下概率密度函数的核估计，获得了此核估计的逐点强相合速度和一致强相合速度。
유우실방、개변치료방안、연구시간결속시사건상미발생등정황，소채집적수거중허다응채집이미능채집、응제교이미재일사시점상제교，조성수거불완전，저편산생료산실수거。인차연구산실수거적대양본성질시해결실제문제적관건。본문재｛Xi ，i≥1｝시α혼합적수궤변량，｛Yi ，i≥1｝시독립동분포적수궤변량，차Xi여Yi상호독립적정형하，연구료수궤산실수거하개솔밀도함수적핵고계，획득료차핵고계적축점강상합속도화일치강상합속도。
Censoring occurs for many reasons,such as loss of follow-up,changes in treatment and events not happened at the end of experiment.In such cases,the value of a measurement or observation is only partially known.Different from traditional large-sample analysis,special techniques should be used to handle censored data.In this paper,{Xi ,i≥1}is a set of mixed random variables,{Yi ,i≥1}is identically distributed ran-dom variables.{Xi ,i≥1}and{Yi ,i≥1}are independent.We established a kernel estimator of the density function for censored data,and get the result,namely pointwise convergence rate of strong consistency of kernel density estimation and uniform convergence rate of strong consistency of kernel density estimation.