relation: http://eprints.imtlucca.it/1622/ title: An Anscombe-type theorem creator: Berti, Patrizia creator: Crimaldi, Irene creator: Pratelli, Luca creator: Rigo, Pietro subject: QA Mathematics description: 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. publisher: Springer date: 2014 type: Article type: PeerReviewed identifier: Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro An Anscombe-type theorem. Journal of Mathematical Sciences, 196 (1). pp. 15-22. ISSN 1072-3374 (2014) relation: http://dx.doi.org/10.1007/s10958-013-1629-6 relation: 10.1007/s10958-013-1629-6