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