%0 Journal Article
%@ 0167-7152
%A Crimaldi, Irene
%D 2004
%F eprints:988
%I Elsevier
%J Statistics and probability letters 
%K Weak convergence; Conditional expectation; Skorohod representation
%N 2
%P 141-148
%T On the behavior of the conditional expectations in Skorohod representation theorem
%U http://eprints.imtlucca.it/988/
%V 67
%X 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|Xn] converges in Lp to the conditional expectation E[Z|X]