“The book is useful not only for those who want to learn about ME distributions but also about renewal theory, random walks, Markov chains … The book should be accessible to a beginning graduate student and many portions of it to undergraduates as well. ... Although this is a book geared towards practitioners, it also does a very good job in explaining some of the finest points of the theory.” (Takis Konstantopoulos, Mathematical Reviews, May, 2018)“This book may be used as a graduate-level textbook, and the authors provide outlines of several possible courses based on it, as well as exercises at the end of each chapter. ... this book is a very good introduction to phase-type and matrix-exponential distributions, which manages to effectively convey the scope of their applications across probability and statistics, and seems well suited to its intended graduate-level audience.” (Fraser Daly, zbMATH 1375.60002, 2018)