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Randomly Reinforced Urn Designs whose Allocation Proportions Converge to Arbitrary Prespecified Values

A. Ghiglietti
;
2013-01-01
2013
Model-Oriented Data Analysis and Optimum Design (MODA) 10
Lagów Lubuski
June 10-14, 2013
mODa 10 – Advances in Model-Oriented Design and Analysis
Spring
99
106
978-3-319-00217-0
https://link.springer.com/book/10.1007/978-3-319-00218-7
There are many randomization procedures in clinical trials in which the proportion of patients allocated to treatments converges to a fixed value. Many of these procedures, like those targeting the optimal Neyman allocation, are not adaptive designs and limiting proportion of allocation is independent of the treatments’ behaviors. In this work we construct a response adaptive design, described in terms of two colors urn model targeting fixed asymptotic allocations that are function of treatments’ performances.We prove some asymptotic results for the process of colors generated by the urn and for the process of its composition. Applications to sequential clinical trials and connections with response-adaptive design of experiments are considered, as well as simulation studies concerning the power function of a testing hypothesis procedure that naturally arises fromthis statistical framework are detailed.
A. Ghiglietti; A.M.Paganoni
04A-Conference paper in volume
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1847583
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