Asymptotic normality of urn models for clinical trials with delayed response

DOI10.3150/BJ/1089206406zbMath1054.62083OpenAlexW2034477716MaRDI QIDQ1880900

Fei-fang Hu, Zhang, Lixin

Publication date: 24 September 2004

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1089206406

zbMATH Keywords

Gaussian processurn modelstreatment allocationstaggered entrygeneralized Friedman's turn

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Sequential statistical design (62L05)

Related Items (13)

A new family of covariate-adjusted response adaptive designs and their properties ⋮ 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 ⋮ Response-adaptive randomization in clinical trials: from myths to practical considerations ⋮ Immigrated urn models-theoretical properties and applications ⋮ Asymptotic Results for a Generalized Pólya Urn with “Multi-Updating” and Applications to Clinical Trials ⋮ Some practical issues of adaptive GPU design ⋮ Adaptative Designs for Multi-Arm Clinical Trials: The Play-the-Winner Rule Revisited ⋮ Doubly adaptive biased coin designs with delayed responses ⋮ The Gaussian approximation for multi-color generalized Friedman's urn model ⋮ Adaptive clinical trial designs to detect interaction between treatment and a dichotomous biomarker ⋮ Mean and variance of balanced Pólya urns ⋮ Interim analysis of clinical trials based on urn models

Cites Work

• Unnamed Item
• Nearby variables with nearby conditional laws and a strong approximation theorem for Hilbert space valued martingales
• Central limit theorems for urn models
• Asymptotic theorems for urn models with nonhomogeneous generating matrices
• Asymptotic properties of adaptive designs for clinical trials with delayed response
• RANDOMIZED URN MODELS AND SEQUENTIAL DESIGN
• Exact two-sample permutation tests based on the randomized play-the-winner rule
• Delayed Response in Randomized Play-The-Winner Rule; A Decision Theoretic Outlook
• A sequential design for maximizing the probability of a favourable response
• Optimality, Variability, Power
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems

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