TY - JOUR EP - 22 AV - none SP - 15 N1 - Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20?24, 2005. 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. IS - 1 VL - 196 TI - An Anscombe-type theorem A1 - Berti, Patrizia A1 - Crimaldi, Irene A1 - Pratelli, Luca A1 - Rigo, Pietro JF - Journal of Mathematical Sciences ID - eprints1622 KW - Anscombe theorem KW - Exchangeability KW - Random indices KW - Random sums KW - Stable convergence PB - Springer UR - http://dx.doi.org/10.1007/s10958-013-1629-6 SN - 1072-3374 Y1 - 2014/// ER -