This PhD thesis covers breakthroughs in several areas of adaptive experiment design: (i) (Chapter 2) Novel clinical trial designs and statistical methods in the era of precision medicine. (ii) (Chapter 3) Multi-armed bandit theory, with applications to learning healthcare systems and clinical trials. (iii) (Chapter 4) Bandit and covariate processes, with finite and non-denumerable set of arms. (iv) (Chapter 5) A rigorous framework for simulation-based verification of adaptive design properties.

翻译：博士论文涉及适应性实验设计若干领域的突破:(一) (第二章) 精密医学时代的新临床试验设计和统计方法;(二) (第三章) 多臂土匪理论,应用于学习保健系统和临床试验;(三) (第四章) 匪徒和共变过程,具有有限和不可计数的一套武器;(四) (第五章) 以模拟方式核查适应性设计特性的严格框架。