Variance in randomized play-the-winner clinical trials

DOI10.1016/S0167-7152(97)00018-7zbMath0946.62074OpenAlexW2167624711MaRDI QIDQ1373967

William F. Rosenberger, Peter C. Matthews

Publication date: 5 October 2000

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00018-7

zbMATH Keywords

combinatoricsasymptoticsapproximationsadaptive designsJordan representationurn models

Mathematics Subject Classification ID

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

Related Items (12)

Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials. ⋮ Generalized Delayed Response in Randomized Play-the-Winner Rule ⋮ Degrees in random self-similar bipolar networks ⋮ BUILDING RANDOM TREES FROM BLOCKS ⋮ BIAS CALCULATIONS FOR ADAPTIVE URN DESIGNS ⋮ Adaptive designs for binary treatment responses in phase III clinical trials: controversies and progress ⋮ Asymptotics in randomized urn models ⋮ Central limit theorems for generalized Pólya urn models ⋮ A general adaptive allocation design for continuous responses in the presence of covariates ⋮ Delayed response in randomized play-the-winner rule revisited ⋮ A class of adaptive designs ⋮ RANDOMIZED URN MODELS AND SEQUENTIAL DESIGN

Cites Work

• Probabilistic analysis of bucket recursive trees
• Martingale functional central limit theorems for a generalized Pólya urn
• On the distribution of leaves in rooted subtrees of recursive trees
• The generalized Polya's urn design for sequential medical trials
• A martingale approach to strong convergence in a generalized Pólya- Eggenberger urn model
• Estimation for an adaptive allocation design
• Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs
• Central limit theorems for urn models
• Two Applications of Urn Processes The Fringe Analysis of Search Trees and The Simulation of Quasi-Stationary Distributions of Markov Chains
• Asymptotic Normality in the Generalized Polya–Eggenberger Urn Model, with an Application to Computer Data Structures
• Asymptotic Joint Normality of Outdegrees of Nodes in Random Recursive Trees
• The Randomized Play-the-Winner Rule in Medical Trials
• On the structure of random plane‐oriented recursive trees and their branches
• Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems

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