eprintid: 1622
rev_number: 7
eprint_status: archive
userid: 36
dir: disk0/00/00/16/22
datestamp: 2013-06-21 11:23:24
lastmod: 2014-01-29 14:34:19
status_changed: 2013-06-21 11:23:24
type: article
succeeds: 1386
metadata_visibility: show
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: pub
subjects: QA
divisions: EIC
full_text_status: none
monograph_type: technical_report
keywords: Anscombe theorem, Exchangeability, Random indices, Random sums, Stable convergence 
note: Proceedings of the XXV International Seminar on Stability Problems for Stochastic Models, Maiori (Salerno), Italy, September 20–24, 2005.
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: 2014
date_type: published
publication: Journal of Mathematical Sciences
volume: 196
number: 1
publisher: Springer
pagerange: 15-22
id_number: 10.1007/s10958-013-1629-6
institution: IMT Institute for Advanced Studies Lucca
refereed: TRUE
issn: 1072-3374
official_url: http://dx.doi.org/10.1007/s10958-013-1629-6
citation:   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)