统计与信息论坛
統計與信息論罈
통계여신식론단
STATISTICS & INFORMATION TRIBUNE
2015年
1期
14-17
,共4页
右删失数据%风险函数%直方图估计
右刪失數據%風險函數%直方圖估計
우산실수거%풍험함수%직방도고계
the right censored data%hazard function%histogram
鉴于生存分析中风险函数较生存函数更能反映生存数据内在失效机制,基于累计风险函数的N el‐son‐Aalen估计量,构造了右删失数据风险函数的新直方图估计量,并对该估计量的偏差、方差、积分均方误差等统计性质进行了论证,对该估计量的使用注意事项进行了说明,通过数值模拟进一步说明了新估计量的合理性。
鑒于生存分析中風險函數較生存函數更能反映生存數據內在失效機製,基于纍計風險函數的N el‐son‐Aalen估計量,構造瞭右刪失數據風險函數的新直方圖估計量,併對該估計量的偏差、方差、積分均方誤差等統計性質進行瞭論證,對該估計量的使用註意事項進行瞭說明,通過數值模擬進一步說明瞭新估計量的閤理性。
감우생존분석중풍험함수교생존함수경능반영생존수거내재실효궤제,기우루계풍험함수적N el‐son‐Aalen고계량,구조료우산실수거풍험함수적신직방도고계량,병대해고계량적편차、방차、적분균방오차등통계성질진행료론증,대해고계량적사용주의사항진행료설명,통과수치모의진일보설명료신고계량적합이성。
According to the hazard function in survival analysis can better reflect the internal failure mechanism of survival data than the survival function , this paper constructs a new estimation of hazard function for the right censored data based on the Nelson‐Aalen estimation of cumulative hazard function and histogram estimation methods , and the statistical properties of the estimator such as the bias , variance , the mean integrated squared error are analyzed , the cautions in application of the estimation is described , the rationality of new estimation is further proved by simulation .