@article{eprints1622,
           title = {An Anscombe-type theorem},
       publisher = {Springer},
            year = {2014},
          number = {1},
            note = {Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20?24, 2005.},
          author = {Patrizia Berti and Irene Crimaldi and Luca Pratelli and Pietro Rigo},
           pages = {15--22},
         journal = {Journal of Mathematical Sciences},
          volume = {196},
        abstract = {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.},
        keywords = {Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence },
             url = {http://eprints.imtlucca.it/1622/}
}