Electronic Journal of Statistics

Statistical properties of two-color randomly reinforced urn design targeting fixed allocations

Andrea Ghiglietti and Anna Maria Paganoni

Full-text: Open access

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.

Article information

Source
Electron. J. Statist., Volume 8, Number 1 (2014), 708-737.

Dates
First available in Project Euclid: 21 May 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1400703411

Digital Object Identifier
doi:10.1214/14-EJS899

Mathematical Reviews number (MathSciNet)
MR3211029

Zentralblatt MATH identifier
1348.62254

Keywords
Response adaptive designs clinical trials randomly reinforced urns

Citation

Ghiglietti, Andrea; Paganoni, Anna Maria. Statistical properties of two-color randomly reinforced urn design targeting fixed allocations. Electron. J. Statist. 8 (2014), no. 1, 708--737. doi:10.1214/14-EJS899. https://projecteuclid.org/euclid.ejs/1400703411


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