This book is a revised, updated and greatly expanded version of the authors' "Probability and Random Processes: Problems and Solutions", first published in 1992. The 1000+ exercises contained within are not merely drill problems but have been chosen to illustrate the concepts, illuminate the subject, and both inform and entertain the student. Topics cover a broad range of subjects, including: elementary aspects of probability and random variables; sampling; Markov chains; convergence; stationary processes; renewals; queues; Martingales; diffusion; mathematical finance and the Black-Scholes model. This text is intended for general use, and to serve students as a companion text for elementary, intermediate and advanced courses in probability and random processes. Useful for anyone needing a large source of problems in these areas and at all levels. This book also acts as a companion volume to the new edition of Probability and Random Processes 3/e, (OUP - 2001), providing the solutions for the problems and exercises.

Table of Contents

1. Events and their probabilities; 2. Random variables and their distribution; 3. Discrete randon variables; 4. Continuous random variables; 5. Generating functions and their applications; 6. Markov chains; 7. Convergence of random variables; 8. Random processes; 9. Stationary processes; 10. Renewals; 11. Queues; 12. Martingales; 13. Diffusion processes; Table of distributions; Bibliography; Index

Reviews

A useful source of exercises and problems from probability theory and random process. I have read it with great pleasure and can recommend it to students and teachers. EMS