TY - JOUR VL - 67 UR - http://dx.doi.org/10.1016/j.spl.2003.12.007 A1 - Crimaldi, Irene Y1 - 2004/// KW - Weak convergence; Conditional expectation; Skorohod representation AV - none SP - 141 TI - On the behavior of the conditional expectations in Skorohod representation theorem PB - Elsevier JF - Statistics and probability letters IS - 2 SN - 0167-7152 N2 - 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] ID - eprints988 EP - 148 ER -