%0 Journal Article
%@ 1350-7265
%A Crimaldi, Irene
%A Pratelli, Luca
%D 2005
%F eprints:985
%I Bernoulli Society for Mathematical Statistics and Probability
%J Bernoulli
%K conditional expectation; Skorohod's theorem; weak convergence of probability measures
%N 4
%P 737-745
%T Convergence results for conditional expectations
%U http://eprints.imtlucca.it/985/
%V 11
%X Let E,F be two Polish spaces and [Xn,Yn],[X,Y] random variables with values in E×F (not necessarily defined on the same probability space). We show some conditions which are sufficient in order to assure that, for each bounded continuous function f on E×F, the conditional expectation of f(Xn,Yn) given Yn converges in distribution to the conditional expectation of f(X,Y) given Y.