An application of reinforced urn processes to determining maximum tolerated dose

Maura Mezzetti (), Pietro Muliere and Paolo Bulla

Statistics & Probability Letters, 2007, vol. 77, issue 7, 740-747

Abstract: Based on reinforced urn process introduced by Muliere et al. [2000. Urn schemes and reinforced random walks. Stochastic Process. Appl. 88(1), 59-78] we propose a Bayesian nonparametric approach to analyse a design determining the maximum tolerated dose (MTD) in Phase I clinical trials for new drug development when intrapatient dose escalation is allowed. A predictive distribution of MTD is obtained and its point estimation may consist in the corresponding expected value.

Keywords: Phase; I; Maximum; tolerated; dose; Urn; scheme (search for similar items in EconPapers)
Date: 2007
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