Principles of Uncertainty

Addressing what are sometimes thought of as two different subjects, this book presents statistics as simply an application of probability. It provides a comprehensive introduction to uncertainty principles and the theory of Bayesian statistics. Each chapter begins by introducing one new concept or assumption and then explores the consequences of that new assumption when added to those already made. Chapters end with a summary and exercises. Employing "just-in-time mathematics," the author introduces mathematical ideas just before they are applied to advance the main argument.