This book is written to offer a humble, but unified, treatment of e-values in hypothesis testing. The book is organized into three parts: Fundamental Concepts, Core Ideas, and Advanced Topics. The first part includes three chapters that introduce the basic concepts. The second part includes five chapters of core ideas such as universal inference, log-optimality, e-processes, operations on e-values, and e-values in multiple testing. The third part contains five chapters of advanced topics. We hope that, by putting the materials together in this book, the concept of e-values becomes more accessible for educational, research, and practical use.
翻译:本书旨在对假设检验中的e值提供一个简明而统一的阐述。全书分为三个部分:基础概念、核心思想与进阶主题。第一部分包含三章,介绍基本概念。第二部分包含五章,阐述核心思想,包括通用推断、对数最优性、e过程、e值运算以及多重检验中的e值。第三部分包含五章,涵盖进阶主题。我们希望通过本书的系统整理,能使e值这一概念在教育、研究和实际应用中更易于理解与使用。