This excellent text examines and analyzes the relationship between probability and statistics. The concept of statistical inference is introduced at an early stage, and is mixed with a treatment of probability at all levels.

From a modeling point of view, the book’s treatment of probability emphasizes utility, interrelationships, and continuity. This is a calculus-based textbook, taking students from a basic introduction to the topic, through sampling distributions, to the analysis of variance. Traditional topics are also covered, such as discrete and continuous models, the functions of random variables, point and interval estimation, and the testing of hypotheses. Separate chapters are devoted to the large sample theory, analysis of categorical data, and analysis of variance.

In its detailed presentation and in its choice of topics, this book is different from existing textbooks. Further, a remarkable number of problems and examples from various fields of application are presented. This is a long book, but each page is full of information. It will serve as an excellent textbook for students of mathematics, statistics, and engineering.