Essentials of Probability Theory for Statisticians

This book is an introductory graduate level course for probability theory for students in biostatistics and statistics doctoral programs. It covers classical probability results, emphasizing those integral to fundamental theorems in statistics or ones that are generally useful for methodology work in statistics. Throughout the book, there is an emphasis on illustrative examples that are one of the most distinctive and useful aspects of the text. The ideal preparation for this book would be an undergraduate major in mathematics or statistics. Advanced calculus is essential.

Michael A. Proschan is a mathematical statistician in the Biostatistics Research Branch at the U.S. National Institute of Allergy and Infectious Diseases (NIAID). A fellow of the American Statistical Association, Dr. Proschan has published more than 100 articles in numerous peer-reviewed journals. His research interests include monitoring clinical trials, adaptive methods, permutation tests, and probability. He earned a PhD in statistics from Florida State University.

Pamela A. Shaw is an assistant professor of biostatistics in the Department of Biostatistics and Epidemiology at the University of Pennsylvania Perelman School of Medicine. Dr. Shaw has published several articles in numerous peer-reviewed journals. Her research interests include methodology to address covariate and outcome measurement error, the evaluation of diagnostic tests, and the design of medical studies. She earned a PhD in biostatistics from the University of Washington.