A partially parametric estimator of survival in the presence of double censored data

Proposes a partially parametric estimation of a survival function when data may be both left and right censored. Assuming that the chance of censoring is not related to the individual’s survival time, the proposed estimator treats the uncensored observations non parametrically and uses parametic models for the censored observations. In this way, the results extend Klein et al.’s work (1990) to the doubly censored data case. Shows some of the properties of the estimator when the correct theoretical parametric model is selected.