@article{eprints988, author = {Irene Crimaldi}, journal = {Statistics and probability letters }, publisher = {Elsevier}, number = {2}, pages = {141--148}, volume = {67}, year = {2004}, title = {On the behavior of the conditional expectations in Skorohod representation theorem}, keywords = {Weak convergence; Conditional expectation; Skorohod representation}, url = {http://eprints.imtlucca.it/988/}, abstract = {In this paper we deal with the Skorohod representation of a given system of probability measures. More precisely, we give conditions for the existence of a Skorohod representation (X,(Xn)) with the following additional property: for each real number p?1 and each real random variable Z in Lp, the conditional expectation E[Z{\ensuremath{|}}Xn] converges in Lp to the conditional expectation E[Z{\ensuremath{|}}X] } }