Asymptotic theorems of sequential estimation-adjusted urn models

DOI10.1214/105051605000000746zbMath1090.62084arXivmath/0603329OpenAlexW2158180736MaRDI QIDQ2494583

Siu Hung Cheung, Fei-fang Hu, Zhang, Lixin

Publication date: 29 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0603329

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Strong limit theorems (60F15) Sequential statistical design (62L05) Asymptotic properties of parametric tests (62F05)

Related Items (25)

Efficient randomized-adaptive designs ⋮ Randomly Reinforced Urn Designs with Prespecified Allocations ⋮ The Gaussian approximation for generalized Friedman's urn model with heterogeneous and unbalanced updating ⋮ Multi-arm covariate-adaptive randomization ⋮ Immigrated urn models-theoretical properties and applications ⋮ Statistical properties of two-color randomly reinforced urn design targeting fixed allocations ⋮ Some practical issues of adaptive GPU design ⋮ Nonparametric covariate-adjusted response-adaptive design based on a functional urn model ⋮ Independence after adaptive allocation ⋮ Adaptive Designs to Maximize Power in Clinical Trials with Multiple Treatments ⋮ Asymptotic properties of covariate-adaptive randomization ⋮ Asymptotic Properties of Multicolor Randomly Reinforced Pólya Urns ⋮ Optimal adaptive generalized Pólya urn design for multi-arm clinical trials ⋮ An urn model to construct an efficient test procedure for response adaptive designs ⋮ An optimal response adaptive biased coin design with \(k\) heteroscedastic treatments ⋮ Generalized Pólya urn Designs with Null Balance ⋮ Sequential monitoring of response-adaptive randomized clinical trials ⋮ Compound adaptive GPU design for clinical trials ⋮ Generalized gamma approximation with rates for urns, walks and trees ⋮ Adaptative Designs for Multi-Arm Clinical Trials: The Play-the-Winner Rule Revisited ⋮ Asymptotics in response-adaptive designs generated by a two-color, randomly reinforced urn ⋮ On recent advances in optimal allocation designs in clinical trials ⋮ 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

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• Optimal Adaptive Designs for Binary Response Trials
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• 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
• Some aspects of the sequential design of experiments

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