Interval Censored Survival Data A Review of Recent Progress

We review estimation in interval censoring models including nonparametric esti mation of a distribution function and estimation of regression models In the non parametric setting we describe computational procedures and asymptotic properties of the nonparametric maximum likelihood estimators In the regression setting we focus on the proportional hazards the proportional odds and the accelerated failure time semiparametric regression models Particular emphasis is given to calculation of the Fisher information for the regression parameters We also discuss computation of the regression parameter estimators via pro le likelihood or maximization of the semi parametric likelihood distributional results for the maximum likelihood estimators and estimation of asymptotic variances Some further problems and open questions are also reviewed