# Convergence results for conditional expectations

Crimaldi, Irene and Pratelli, Luca Convergence results for conditional expectations. Bernoulli, 11 (4). pp. 737-745. ISSN 1350-7265 (2005)

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## Abstract

Let E,F be two Polish spaces and [Xn,Yn],[X,Y] random variables with values in E×F (not necessarily defined on the same probability space). We show some conditions which are sufficient in order to assure that, for each bounded continuous function f on E×F, the conditional expectation of f(Xn,Yn) given Yn converges in distribution to the conditional expectation of f(X,Y) given Y.

Item Type: Article 10.3150/bj/1126126767 conditional expectation; Skorohod's theorem; weak convergence of probability measures H Social Sciences > HA StatisticsQ Science > QA Mathematics Economics and Institutional Change Irene Crimaldi 31 Oct 2011 14:40 09 Aug 2012 08:24 http://eprints.imtlucca.it/id/eprint/985

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