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

Andrea Ghiglietti; Anna Maria Paganoni

doi:10.1214/14-EJS899

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

Andrea Ghiglietti, Anna Maria Paganoni

Facoltà di Economia

Polytechnic University of Milan

Risultato della ricerca: Contributo in rivista › Articolo › peer review

7 Citazioni (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.

Lingua originale	Inglese
pagine (da-a)	708-737
Numero di pagine	30
Rivista	Electronic Journal of Statistics
Volume	8
Numero di pubblicazione	1
DOI	https://doi.org/10.1214/14-EJS899
Stato di pubblicazione	Pubblicato - 2014

All Science Journal Classification (ASJC) codes

Statistica e Probabilità
Statistica, Probabilità e Incertezza

Keywords

Clinical trials
Randomly reinforced urns
Response adaptive designs

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10.1214/14-EJS899

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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