右删失数据下的限制平均寿命问题  

The Estimation of the Restricted Mean Lifetime with Right Censored Data

作　　者：邓文丽[1] 欧阳菲[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2016年第4期354-357,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学青年基金(71001046)资助项目

摘　　要：在右删失数据下构造了"新"的随机变量,在删失变量分布已知的条件下,该变量的样本均值是限制平均寿命的方差有限的无偏估计;在删失变量分布未知的条件下,利用该变量得到的样本均值是限制平均寿命的相合估计.数值模拟说明所提出方法的有效性和可行性.A group of ＂new＂random variables were constructed with right censored data. If the distribution of the censoring variable is known,the sample means are the unbiased estimations of the restricted mean lifetime. If the distribution of the censoring variable is unknown,it can be proved that the sample means are consistent estimations of the restricted mean lifetime. The effectiveness and feasibility of the estimators can also be seen in the simulation studies.

关 键 词：限制平均寿命 乘积极限估计 相合估计 

分 类 号：O212.7[理学—概率论与数理统计]