Simple non‐parametric estimators for unemployment duration analysis

Summary.  We consider an extension of conventional univariate Kaplan–Meier‐type estimators for the hazard rate and the survivor function to multivariate censored data with a censored random regressor. It is an Akritas‐type estimator which adapts the non‐parametric conditional hazard rate estimator of Beran to more typical data situations in applied analysis. We show with simulations that the estimator has nice finite sample properties and our implementation appears to be fast. As an application we estimate non‐parametric conditional quantile functions with German administrative unemployment duration data.