"Stein's method is a collection of probabilistic techniques that allow one to assess the distance between two probability distributions by means of differential operators. In 2007, the authors discovered that one can combine Stein's method with the powerful Malliavin calculus of…
"The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined …
Chaotic billiards
by Chernov, Nikolai, Markarian, Roberto
fromMathematical surveys and monographs
Presenting important trends in the field of stochastic analysis, this collection of thirteen articles provides an overview of recent developments and new results. The articles cover a wide range of topics, from an alternative set-up of rigorous probability to the sampling of con…
"This book is a collection of exercises covering all the main topics in the modern theory of stochastic processes and its applications, including finance, actuarial mathematics, queuing theory, and risk theory. The aim of this book is to provide the reader with the theoretical a…
"Good design considers units and treatments first, and then allocates treatments to units. It does not choose from a menu of named designs. This approach requires a notation for units that does not depend on the treatments applied. Most structure on the set of observational unit…
Problems in Probability
by Širjaev, Alʹbert Nikolaevič
fromProblem books in mathematics