We consider semiparametric models for which solution of Horvitz-Thompson or inverse probability weighted (IPW) likelihood equations with two-phase stratified samples leads to <formula format="inline"><file name="sjos_523_mu1.gif" type="gif" /></formula> consistent and asymptotically Gaussian estimators of both Euclidean and non-parametric parameters. For Bernoulli...

We state and prove a limit theorem for estimators of a general, possibly infinite dimensional parameter based on unbiased estimating equations containing estimated nuisance parameters. The theorem corrects a gap in the proof of one of the assertions of our paper 'Weighted likelihood for...