Sheldon M. Ross Knihy

A First Course in Probability, Ninth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.

Concise advanced-level introduction to stochastic processes that frequently arise in applied probability. Largely self-contained text covers Poisson process, renewal theory, Markov chains, inventory theory, Brownian motion and continuous time optimization models, much more. Problems and references at chapter ends. "excellent introduction." -- Journal of the American Statistical Association. Bibliography. 1970 edition.

Focusing on the interplay between probability and statistical problems, this edition enhances intuitive understanding for engineers and scientists. It features real data from various fields, including life sciences and business, complemented by diverse exercises and examples. End-of-chapter reviews emphasize key concepts and practical risks. The latest edition includes insights on Big Data and R programming. Ideal for upper-level undergraduates, graduates, and professionals, it serves as a comprehensive reference for foundational content and applications in engineering and science.

This book contains material on compound Poisson random variables including an identity which can be used to efficiently compute moments, Poisson approximations, and coverage of the mean time spent in transient states as well as examples relating to the Gibb's sampler, the Metropolis algorithm and mean cover time in star graphs.