Immigrated urn models-theoretical properties and applications
DOI10.1214/10-AOS851zbMath1226.60012arXiv0812.3698MaRDI QIDQ2429943
Siu Hung Cheung, Zhang, Lixin, Fei-fang Hu, Wai Sum Chan
Publication date: 5 April 2011
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.3698
asymptotic normalityadaptive designsclinical trialurn modelbranching process with immigrationbirth and death urndrop-the-loser rule
Applications of statistics to biology and medical sciences; meta analysis (62P10) Strong limit theorems (60F15) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal Adaptive Designs for Binary Response Trials
- Generalized classical, quantum and intermediate statistics and the Pólya urn model
- Strong approximations of martingale vectors and their applications in Markov-chain adaptive designs
- Pólya-like urns and the Ewens' sampling formula
- Implementing optimal allocation for sequential continuous responses with multiple treatments
- The Gaussian approximation for multi-color generalized Friedman's urn model
- The generalized Polya's urn design for sequential medical trials
- The asymptotic behavior of an urn model arising
- Central limit theorems for urn models
- A play-the-winner-type urn design with reduced variability
- Asymptotic theorems for urn models with nonhomogeneous generating matrices
- An adaptive design for multi-arm clinical trials
- Asymptotics in randomized urn models
- On the convergence of reinforcement learning
- Asymptotic properties of adaptive designs for clinical trials with delayed response
- Generalized urn models of evolutionary processes.
- Asymptotic normality of urn models for clinical trials with delayed response
- Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials.
- Urn designs with immigration: useful connection with continuous time stochastic processes
- Asymptotically best response-adaptive randomization procedures
- Asymptotic theorems of sequential estimation-adjusted urn models
- Functional limit theorems for multitype branching processes and generalized Pólya urns.
- The Randomized Play-the-Winner Rule in Medical Trials
- A sequential design for maximizing the probability of a favourable response
- Optimality, Variability, Power
- Probabilistic Transforms for Combinatorial Urn Models
- Implementing Optimal Allocation in Sequential Binary Response Experiments
- Central limit theorems for generalized Pólya urn models
- The Theory of Response‐Adaptive Randomization in Clinical Trials
- Response‐Adaptive Randomization for Clinical Trials with Continuous Outcomes
- Embedding of Urn Schemes into Continuous Time Markov Branching Processes and Related Limit Theorems
This page was built for publication: Immigrated urn models-theoretical properties and applications