%0 Journal Article
%9 Technical Report
%@ 1072-3374
%A Berti, Patrizia
%A Crimaldi, Irene
%A Pratelli, Luca
%A Rigo, Pietro
%D 2014
%F eprints:1622
%I Springer
%J Journal of Mathematical Sciences
%K Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 
%N 1
%P 15-22
%T An Anscombe-type theorem
%U http://eprints.imtlucca.it/1622/
%V 196
%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.
%Z Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20–24, 2005.