Estimation of the treatment effect for the survival time data

In this paper, we propose a nonparametric estimation procedure for the treatment effect by applying the least square method for the survival time data. We derive an explicit formula for the estimate which is also easy to compute. Then we discuss the consistency and asymptotic normality for the estimate under several assumptions. Then we illustrate our procedure with a numerical example and compare performance by carrying out a simulation study. Finally we discuss some interesting aspects for the estimation procedure as concluding remarks.