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

Andrea Ghiglietti, Anna Maria Paganoni

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)708-737
Number of pages30
JournalElectronic Journal of Statistics
Volume8
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Clinical trials
  • Randomly reinforced urns
  • Response adaptive designs

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