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Urn models and their variants frequently facilitate response adaptive randomization methods in clinical trials. In such problems, the urn composition determines the statistical properties of estimates of treatment efficacy and hypothesis tests of treatment effects. In this presentation, we describe the large and moderate deviation results for these estimators using techniques from the branching process theory.

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Response Adaptive Designs Driven by Randomly Reinforced Urn: Large and Moderate Deviations

  • 会议论文

  • 发表日期：

    2025年

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  • Anand N. Vidyashankar

摘要

Urn models and their variants frequently facilitate response adaptive randomization methods in clinical trials. In such problems, the urn composition determines the statistical properties of estimates of treatment efficacy and hypothesis tests of treatment effects. In this presentation, we describe the large and moderate deviation results for these estimators using techniques from the branching process theory.