%R 10.1007/s10958-013-1629-6
%J Journal of Mathematical Sciences
%N 1
%K Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 
%A Patrizia Berti
%A Irene Crimaldi
%A Luca Pratelli
%A Pietro Rigo
%D 2014
%L eprints1622
%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.
%O Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20?24, 2005.
%V 196
%I Springer
%P 15-22
%T An Anscombe-type theorem