The estimation of the restricted mean lifetime with right censored data. (Chinese. English summary) Zbl 1374.62129
Summary: A group of new random variables are 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.