The method of types [information theory]

The method of types is one of the key technical tools in Shannon theory, and this tool is valuable also in other fields. In this paper, some key applications are presented in sufficient detail enabling an interested nonspecialist to gain a working knowledge of the method, and a wide selection of further applications are surveyed. These range from hypothesis testing and large deviations theory through error exponents for discrete memoryless channels and capacity of arbitrarily varying channels to multiuser problems. While the method of types is suitable primarily for discrete memoryless models, its extensions to certain models with memory are also discussed