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2014 Statistical properties of two-color randomly reinforced urn design targeting fixed allocations
Andrea Ghiglietti, Anna Maria Paganoni
Electron. J. Statist. 8(1): 708-737 (2014). DOI: 10.1214/14-EJS899

Abstract

This paper deals with the statistical properties of a response adaptive design, described in terms of a two colors urn model, targeting prespecified asymptotic allocations. Results on the rate of divergence of number of patients assigned to each treatment are proved as well as on the asymptotic behavior of the urn composition. Suitable statistics are introduced and studied to test the hypothesis on treatments’ difference.

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Andrea Ghiglietti. Anna Maria Paganoni. "Statistical properties of two-color randomly reinforced urn design targeting fixed allocations." Electron. J. Statist. 8 (1) 708 - 737, 2014. https://doi.org/10.1214/14-EJS899

Information

Published: 2014
First available in Project Euclid: 21 May 2014

zbMATH: 1348.62254
MathSciNet: MR3211029
Digital Object Identifier: 10.1214/14-EJS899

Rights: Copyright © 2014 The Institute of Mathematical Statistics and the Bernoulli Society

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Vol.8 • No. 1 • 2014
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