%J Statistics and probability letters 
%P 141-148
%A Irene Crimaldi
%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]

%I Elsevier
%V 67
%T On the behavior of the conditional expectations in Skorohod representation theorem
%N 2
%R doi:10.1016/j.spl.2003.12.007
%L eprints988
%K Weak convergence; Conditional expectation; Skorohod representation
%D 2004