eprintid: 1386 rev_number: 6 eprint_status: archive userid: 36 dir: disk0/00/00/13/86 datestamp: 2012-10-01 08:33:23 lastmod: 2012-10-01 08:33:23 status_changed: 2012-10-01 08:33:23 type: monograph metadata_visibility: no_search creators_name: Berti, Patrizia creators_name: Crimaldi, Irene creators_name: Pratelli, Luca creators_name: Rigo, Pietro creators_id: creators_id: irene.crimaldi@imtlucca.it creators_id: creators_id: title: AN ANSCOMBE-TYPE THEOREM ispublished: submitted subjects: QA divisions: EIC full_text_status: none monograph_type: technical_report keywords: Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 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. date: 2012-09 date_type: submitted institution: IMT Institute for Advanced Studies Lucca official_url: http://arxiv.org/abs/1209.6473 citation: Berti, Patrizia and Crimaldi, Irene and Pratelli, Luca and Rigo, Pietro AN ANSCOMBE-TYPE THEOREM. Technical Report (Submitted)