%0 Report
%9 Technical Report
%A Berti, Patrizia
%A Crimaldi, Irene
%A Pratelli, Luca
%A Rigo, Pietro
%D 2012
%F eprints:1386
%I IMT Institute for Advanced Studies Lucca
%K Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 
%T AN ANSCOMBE-TYPE THEOREM
%U http://eprints.imtlucca.it/1386/
%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.