Introduction to Probability, Statistics, and Random Processes
Online reading and download. The book covers: - Basic concepts such as random experiments, probability axioms, conditional probability, and counting methods - Single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities - Limit theorems and convergence - Introduction to Bayesian and classical statistics - Random processes including processing of random signals, Poisson processes, discrete-time and continuous-time - Markov chains, and Brownian motion - Simulation using MATLAB and R The book contains a large number of solved exercises. The dependency between different sections of this book has been kept to a minimum in order to provide maximum flexibility to instructors and to make the book easy to read for students. Examples of applications—such as engineering, finance, everyday life, etc.—are included to aid in motivating the subject. The digital version of the book, as well as additional materials such as videos, is available at www.probabilitycourse.com.
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