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Asymptotic results for a generalized Pólya urn with “multi-updating” and applications to clinical trials

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)

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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.

Item Type: Article
Identification Number: 10.1080/03610920802001888
Uncontrolled Keywords: Almost sure conditional convergence, Clinical trials, Conditionally identically distributed sequences, Stable convergence, Urn models
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Research Area: Economics and Institutional Change
Depositing User: Irene Crimaldi
Date Deposited: 31 Oct 2011 13:38
Last Modified: 18 Jan 2012 08:01
URI: http://eprints.imtlucca.it/id/eprint/981

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