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
MOOCs stand for Massive Open Online Courses. These arefree online courses from universities around the world (eg. StanfordHarvardMIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you. They also have student discussion forums, homework/assignments, and online quizzes or exams.
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.