In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest: it allows for instance to derive quantiles estimators or other non linear parameters derived from the cdf. We consider the case where the response variable is a right censored duration...

A conditional version of the extended Kolmogorov–Feller weak law of large numbers is established, which generalizes the existing results and is actually adapted to a sequence of exchangeable random variables provided the conditional σ-algebra is taken as the tail σ-algebra or the σ-algebra...

In many semiparametric models, the parameter of interest is identified through conditional expectations, where the conditioning variable involves a single-index that is estimated in the first step. Among the examples are sample selection models and propensity score matching estimators. When the...