Presenting probability in a natural way, this book uses interesting, carefully selected instructive examples that explain the theory, definitions, theorems, and methodology. Fundamentals of Probability has been adopted by the American Actuarial Society as one of its main references for the mathematical foundations of actuarial science. Topics axioms of probability; combinatorial methods; conditional probability and independence; distribution functions and discrete random variables; special discrete distributions; continuous random variables; special continuous distributions; bivariate distributions; multivariate distributions; sums of independent random variables and limit theorems; stochastic processes; and simulation. For anyone employed in the actuarial division of insurance companies and banks, electrical engineers, financial consultants, and industrial engineers.
A very good book that explains the important probability distributions in a good depth and an easy to understand manner. I also appreciate how the random variables and their distributions are put in a well-framed context, which makes it easier for me to see that the concepts and formulas make intuitive sense. The book is also full of close-to-life examples. That also makes the subject much less dry and more practical thus more exciting to learn about. Highly recommended.