Probability and Conditional Expectations: Fundamentals for the Empirical Sciences

by Werner Nagel (Author)

Publisher: Wiley

Publication Date: February 22, 2017

Print Length: 600 pages

This rigorous and detailed book bridges the gap between books on probability theory and statistics by providing a comprehensive treatment of probabilistic concepts essential for understanding estimations in applied statistics. It delves into the basics of random variables, while extensively covering measurable functions and integration. The text places significant emphasis on the theory of conditional expectations, which is fundamental to concepts like conditional independence and conditional distributions.

The book explores conditional expectations in depth, including their role in analyzing causal effects through the concept of conditional effect functions. It is illustrated throughout with simple examples, numerous exercises, and detailed solutions that enhance comprehension. Additional resources are available on a companion website, offering videos of courses delivered by the authors as well as R code exercises to further illustrate the theory presented.