Introduction to Probability Statistics and Random Processes

About this book

This book introduces students to probability statistics and stochastic processes. It can be used by both students and practitioners in engineering various sciences finance and other related fields. It provides a clear and intuitive approach to these topics while maintaining mathematical accuracy. 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 R and Python (online chapters) 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 applicationssuch 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.