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Introduction to Probability, Statistics, and Random Processes

 with  Hossein Pishro-Nik

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

Syllabus

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

 

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What are MOOCs?
MOOCs stand for Massive Open Online Courses. These are free online courses from universities around the world (eg. Stanford Harvard MIT) offered to anyone with an internet connection.
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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.

3 reviews for Introduction to Probability, Statistics, and Random Processes

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2 out of 2 people found the following review useful
12 months ago
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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.
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0 out of 5 people found the following review useful
2 years ago
George Soilis is taking this course right now.
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0 out of 5 people found the following review useful
2 years ago
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Anonymous completed this course.
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