Smooth estimation of survival functions under mean residual life ordering

The smooth estimators are based on two earlier papers, one by Chaubey and Sen [1996. On smooth estimation of survival and density functions. Statist. Decisions 14, 1-22] on smooth estimation of a SF and another by Chaubey and Sen [1999. On smooth estimation of mean residual life. J. Statist. Plann. Inference 75, 223-236] on smooth estimation of an MRL function. This paper proves the strong consistency of the resulting estimators. A simulation study comparing the proposed estimators is also presented.