TY - RPRT ID - eprints1386 M1 - technical_report AV - none KW - Anscombe theorem KW - Exchangeability KW - Random indices KW - Random sums KW - Stable convergence UR - http://arxiv.org/abs/1209.6473 Y1 - 2012/09// N2 - 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. TI - AN ANSCOMBE-TYPE THEOREM A1 - Berti, Patrizia A1 - Crimaldi, Irene A1 - Pratelli, Luca A1 - Rigo, Pietro ER -