relation: http://eprints.imtlucca.it/1386/ 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. date: 2012-09 type: Working Paper type: NonPeerReviewed identifier: Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro AN ANSCOMBE-TYPE THEOREM. Technical Report (Submitted) relation: http://arxiv.org/abs/1209.6473