摘要
混合治愈模型在生存分析、医学统计中是一类很适用的模型,其总体包含治愈部分个体,对于部分个体的生存时间被一个均匀分布的随机时间截断,且带有右删失的复杂情形,本文提出了新的非参数估计量来估计治愈率。在常规的条件下,可以证明该估计量具有相合性和渐近正态性。
Mixture cure model is a kind of very suitable statistical model in some fields such as survival analysis and medical statistics,which includes some cured individuals.In this paper,the survival time of some individuals is truncated by a uniformly distributed random time with right censoring.We propose a new nonparametric estimator to estimate the cure rate based on the latest research results under some normal conditions,then the consistency and asymptotic normality of the proposed estimator have been obtained.
作者
施建华
SHI Jian-hua(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China)
出处
《统计学报》
2020年第2期25-30,56,共7页
Journal of Statistics
基金
数字福建气象大数据研究所项目
数据科学与统计重点实验室项目
福建省自然科学基金项目(2019Y3007)
国家自然科学基金项目(11901275)
关键词
流行队列
混合治愈模型
长度偏差右删失数据
治愈率估计
经验过程
prevalent cohort
mixture cure model
length-biased and right censored data
cure fraction estimation
empirical process
