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.