eprintid: 981 rev_number: 13 eprint_status: archive userid: 36 dir: disk0/00/00/09/81 datestamp: 2011-10-31 13:38:27 lastmod: 2012-01-18 08:01:11 status_changed: 2012-01-18 08:01:11 type: article metadata_visibility: show creators_name: Crimaldi, Irene creators_name: Leisen, Fabrizio creators_id: irene.crimaldi@imtlucca.it creators_id: title: Asymptotic results for a generalized Pólya urn with “multi-updating” and applications to clinical trials ispublished: pub subjects: HA subjects: QA divisions: EIC full_text_status: none keywords: Almost sure conditional convergence, Clinical trials, Conditionally identically distributed sequences, Stable convergence, Urn models abstract: In this article, a new Pólya urn model is introduced and studied; in particular, a strong law of large numbers and two central limit theorems are proved. This urn generalizes a model studied in Berti et al. (2004), May et al. (2005), and in Crimaldi (2007), and it has natural applications in clinical trials. Indeed, the model includes both delayed and missing (or null) responses. Moreover, a connection with the conditional identity in distribution of Berti et al. (2004) is given. date: 2008 date_type: published publication: Communications in statistics - theory and methods volume: 37 number: 17 publisher: Taylor & Francis pagerange: 2777-2794 id_number: doi:10.1080/03610920802001888 refereed: TRUE issn: 0361-0926 official_url: http://dx.doi.org/10.1080/03610920802001888 citation: Crimaldi, Irene and Leisen, Fabrizio Asymptotic results for a generalized Pólya urn with “multi-updating” and applications to clinical trials. Communications in statistics - theory and methods, 37 (17). pp. 2777-2794. ISSN 0361-0926 (2008)