Probability, Random Variables and Stochastic Processes (4th Edition)

Probability, Random Variables and Stochastic Processes (Fourth Edition) By Athanasios Papoulis and S. Unnikrishna Pillai

This fourth edition has been updated significantly from the previous edition and now includes co-author S. Unnikrishna Pillai of Polytechnic University. Intended for a senior/graduate level course in probability, it's aimed at students in electrical engineering, math, and physics departments, with the authors developing probability theory and stochastic processes as a deductive discipline while illustrating the theory with basic applications of engineering interest. Approximately one-third of the text is new material, maintaining the style and spirit of previous editions, with additional examples added throughout to bridge the gap between abstract concepts and real applications, alongside several entirely new topics. The first part of the book, covering probability and random variables, spans eight chapters, including a new section on Bernoulli's theorem within the repeated-trials chapter, while the second part on stochastic processes adds new material on Poisson processes along with two brand-new chapters on Markov chains and processes and on queueing theory.

Topics commonly covered include the meaning and axioms of probability, repeated trials, the concept of a random variable, functions of one and two random variables, sequences of random variables, statistics, random walks, spectral representation, spectrum estimation, mean square estimation, entropy, Markov chains, and Markov processes and queueing theory.

Key features:

• About 30% new material compared to the prior edition, with numerous additional worked examples

• New chapters on Markov chains/processes and queueing theory

• Balances mathematical rigor with engineering intuition, particularly valuable for signal-processing applications

• Long-standing classic reference across electrical engineering, math, and physics departments

• Accompanying solutions manual available for instructors

Perfect for:

• Senior undergraduate and graduate students in electrical engineering, mathematics, or physics

• Students needing a rigorous foundation in probability before advanced signal processing or communications coursework

• Researchers working with random signals, spectral analysis, or stochastic modeling

• Faculty teaching a deductive, application-minded probability and stochastic processes course

Available at Prince Book Depot. Cash on Delivery available. Nationwide delivery across Pakistan.