This site is the homepage of the textbook Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik. It is an open access peer-reviewed textbook intended for undergraduate as well as first-year graduate level courses on the subject. It can be used by both students and practitioners in engineering, mathematics, finance, and other related fields.
The site includes:
The entire textbook
Short video lectures that aid in learning the material
Online calculators for important functions and distributions
A solutions manual for instructors
NOTE: Videos are only availaible for chapter 1-4
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
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Anonymous is taking this course right now.
A very useful resource for studying probability. It doesn’t have a certificate of completion but I don’t mind since I’m using this website and videos as extra resources alongside my university studies.