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
Mezzetti, M., Muliere, P., Bulla, P. (2007). An application of reinforced urn processes to determining maximum tolerated dose. STATISTICS & PROBABILITY LETTERS, 77(7), 740-747 [10.1016/j.spl.2006.11.010].
An application of reinforced urn processes to determining maximum tolerated dose
MEZZETTI, MAURA;
2007-01-01
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| File | Dimensione | Formato | |
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