@article{eprints985,
          author = {Irene Crimaldi and Luca Pratelli},
         journal = {Bernoulli},
       publisher = {Bernoulli Society for Mathematical Statistics and Probability},
           pages = {737--745},
          number = {4},
          volume = {11},
            year = {2005},
           title = {Convergence results for conditional expectations},
        keywords = {conditional expectation; Skorohod's theorem; weak convergence of probability measures},
             url = {http://eprints.imtlucca.it/985/},
        abstract = {Let E,F be two Polish spaces and [Xn,Yn],[X,Y] random variables with values in E{$\times$}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{$\times$}F, the conditional expectation of f(Xn,Yn) given Yn converges in distribution to the conditional expectation of f(X,Y) given Y.}
}