Assuming only calculus and linear algebra, Professor Taylor introduces readers to measure theory and probability, discrete martingales, and weak convergence. Th

The authors believe that a proper treatment of probability theory requires an adequate background in the theory of finite measures in general spaces. The first

This book provides in a concise, yet detailed way, the bulk of the probabilistic tools that a student working toward an advanced degree in statistics, probabili

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses

This is a graduate level textbook on measure theory and probability theory. The book can be used as a text for a two semester sequence of courses in measure the