Chapters 1 and 2: basic concepts such as random experiments, probability axioms, conditional probability, law of total probability, Bayes' rule, and counting methods;
Chapters 3 through 6: single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristics functions, random vectors, and inequalities;
Chapter 7: limit theorems and convergence;
Chapters 8 and 9: Bayesian and classical statistics;
Chapters 10: Introduction to random processes, processing of random signals;
Chapter 11: Poisson processes, discrete-time Markov chains, continuous-time Markov chains, and Brownian motion;
Chapter 12: basic methods of generating random variables and simulating probabilistic systems (using MATLAB);
Chapter 13: basic methods of generating random variables and simulating probabilistic systems (using R);
Chapter 14: recursive methods;
Consults, E. (2023). Introduction to Probability, Statistics, and Random Processes (Hossein Pishro-Nik). Afribary. Retrieved from https://afribary.com/works/introduction-to-probability-statistics-and-random-processes-hossein-pishro-nik
Consults, Education "Introduction to Probability, Statistics, and Random Processes (Hossein Pishro-Nik)" Afribary. Afribary, 28 Feb. 2023, https://afribary.com/works/introduction-to-probability-statistics-and-random-processes-hossein-pishro-nik. Accessed 15 May. 2024.
Consults, Education . "Introduction to Probability, Statistics, and Random Processes (Hossein Pishro-Nik)". Afribary, Afribary, 28 Feb. 2023. Web. 15 May. 2024. < https://afribary.com/works/introduction-to-probability-statistics-and-random-processes-hossein-pishro-nik >.
Consults, Education . "Introduction to Probability, Statistics, and Random Processes (Hossein Pishro-Nik)" Afribary (2023). Accessed May 15, 2024. https://afribary.com/works/introduction-to-probability-statistics-and-random-processes-hossein-pishro-nik