Asymptotic properties of adaptive designs for clinical trials with delayed response

DOI10.1214/aos/1015362187zbMath1012.62087OpenAlexW1497518536MaRDI QIDQ1848932

William F. Rosenberger, Zhi-Dong Bai, Fei-fang Hu

Publication date: 14 November 2002

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1015362187

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Applications of statistics to biology and medical sciences; meta analysis (62P10) Sequential statistical design (62L05)

Related Items (28)

Pólya urn models in the presence of additional information ⋮ Asymptotic normality of urn models for clinical trials with delayed response ⋮ Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials. ⋮ Efficient randomized-adaptive designs ⋮ A generalized drop-the-loser rule for multi-treatment clinical trials ⋮ A new family of covariate-adjusted response adaptive designs and their properties ⋮ Generalisations of a Bayesian decision-theoretic randomisation procedure and the impact of delayed responses ⋮ A Modification of a Percentile Estimation Procedure Based on Generalized Polya Urns ⋮ The Gaussian approximation for generalized Friedman's urn model with heterogeneous and unbalanced updating ⋮ Immigrated urn models-theoretical properties and applications ⋮ Some practical issues of adaptive GPU design ⋮ Bayesian Adaptive Biased‐Coin Designs for Clinical Trials with Normal Responses ⋮ Bayesian doubly adaptive randomization in clinical trials ⋮ Asymptotic Properties of Multicolor Randomly Reinforced Pólya Urns ⋮ Optimal adaptive generalized Pólya urn design for multi-arm clinical trials ⋮ Ethics, data-dependent designs, and the strategy of clinical trials: time to start learning-as-we-go? ⋮ Minimum Hellinger distance estimation for randomized play the winner design ⋮ New adaptive designs for delayed response models ⋮ Adaptive designs for sequential experiments ⋮ A General Multi-Treatment Adaptive Design for Multivariate Responses ⋮ Asymptotics of adaptive design with two alternating generating matrices ⋮ A general adaptive allocation design for continuous responses in the presence of covariates ⋮ Adaptative Designs for Multi-Arm Clinical Trials: The Play-the-Winner Rule Revisited ⋮ Sequential monitoring of response-adaptive randomized clinical trials with sample size re-estimation ⋮ Response‐Adaptive Randomization for Clinical Trials with Continuous Outcomes ⋮ The Gaussian approximation for multi-color generalized Friedman's urn model ⋮ Mean and variance of balanced Pólya urns ⋮ Interim analysis of clinical trials based on urn models

Cites Work

• Unnamed Item
• The generalized Polya's urn design for sequential medical trials
• Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs
• Central limit theorems for urn models
• Asymptotic theorems for urn models with nonhomogeneous generating matrices
• Exact two-sample permutation tests based on the randomized play-the-winner rule
• The Randomized Play-the-Winner Rule in Medical Trials
• Delayed Response in Randomized Play-The-Winner Rule; A Decision Theoretic Outlook
• A randomized play-the-winner design for multi-arm clinical trials
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems

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