An Introduction to Measure-theoretic Probability

An Introduction to Measure-Theoretic Probability, Second Edition, employs a classical approach to teaching students of statistics, mathematics, engineering, econometrics, finance, and other disciplines measure-theoretic probability. This book requires no prior knowledge of measure theory, discusses all its topics in great detail, and includes one chapter on the basics of ergodic theory and one chapter on two cases of statistical estimation. There is a considerable bend toward the way probability is actually used in statistical research, finance, and other academic and nonacademic applied pursuits.

Provides in a concise, yet detailed way, the bulk of probabilistic tools essential to a student working toward an advanced degree in statistics, probability, and other related fieldsIncludes extensive exercises and practical examples to make complex ideas of advanced probability accessible to graduate students in statistics, probability, and related fieldsAll proofs presented in full detail and complete and detailed solutions to all exercises are available to the instructors on book companion site