A randomly reinforced urn
In: Adaptive designs in clinical trialsJournal of statistical planning and inference 136(6):1853-1874; Jg. 136 (2006) 6, S. 1853-1874
Online
Konferenz
- print, 25 ref
We study an urn containing balls of two or more colors. The urn is sequentially sampled. Each time a ball is extracted from the urn it is reintroduced in it together with a random number of balls of the same color: the distribution of the number of added balls may depend on the color extracted. We prove asymptotic results for the process of colors generated by the urn and for the process of its compositions. Applications to sequential clinical trials are considered as well as connections with response-adaptive design of experiments in a Bayesian framework.
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A randomly reinforced urn
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Autor/in / Beteiligte Person: | MULIERE, Pietro ; PAGANONI, Anna Maria ; SECCHI, Piercesare |
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Quelle: | Adaptive designs in clinical trialsJournal of statistical planning and inference 136(6):1853-1874; Jg. 136 (2006) 6, S. 1853-1874 |
Veröffentlichung: | Amsterdam; Lausanne; New York,NY: Elsevier Science, 2006 |
Medientyp: | Konferenz |
Umfang: | print, 25 ref |
ISSN: | 0378-3758 (print) |
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