TY - JOUR JF - Statistics and probability letters N2 - In this paper we prove, first of all, two inequalities for conditional expectations, from which we easily deduce a result by Landers and Rogge. Then we prove convergence results for conditional expectations of the form Pn [f(Xn)|Yn] to a conditional expectation of the form P [f(X)|Y]. We study, in particular, the case in which the random variables Yn Y are of the type hn (Xn), h(X) Y1 - 2005/// SN - 0167-7152 IS - 2 UR - http://dx.doi.org/10.1016/j.spl.2005.04.039 KW - Conditional expectation; Convergence in distribution; Convergence in total variation AV - none TI - Two inequalities for conditional expectations and convergence results for filters ID - eprints987 SP - 151 A1 - Crimaldi, Irene A1 - Pratelli, Luca PB - Elsevier EP - 162 VL - 74 ER -