%A Patrizia Berti
%A Irene Crimaldi
%A Luca Pratelli
%A Pietro Rigo
%L eprints1386
%X Let (X_n) be a sequence of random variables (with values in a
separable metric space) and (N_n) a sequence of random indices. Conditions for X_{N_n} to converge stably (in particular, in distribution) are provided. Some
examples, where such conditions work but those already existing fail, are given as well.
%K Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 
%D 2012
%T AN ANSCOMBE-TYPE THEOREM
%I IMT Institute for Advanced Studies Lucca