0

(

ratings

)

students

Created by:

Profile Photo

Last updated:

September 25, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

Advanced Topics in Probability and Random Processes. Instructor: Prof. P. K. Bora, Department of Electronics and Electrical Engineering, IIT Guwahati.

The course will cover mainly two broad areas: (1) the concepts of the convergence a sequence of random variables leading to the explanation of important concepts like the laws of large numbers, central limit theorem; and (2) Markov chains that include the analysis of discrete and continuous time Markov Chains and their applications. (from nptel.ac.in)

Course Curriculum

    • Lecture 01 – Probability Basics Unlimited
    • Lecture 02 – Random Variable Unlimited
    • Lecture 03 – Random Variable (cont.) Unlimited
    • Lecture 04 – Random Vectors and Random Processes Unlimited
    • Lecture 05 – Infinite Sequence of Events Unlimited
    • Lecture 06 – Infinite Sequence of Events (cont.) Unlimited
    • Lecture 07 – Convergence of a Sequence of Random Variables Unlimited
    • Lecture 08 – Weak Convergence Unlimited
    • Lecture 09 – Weak Convergence (cont.) Unlimited
    • Lecture 10 – Laws of Large Numbers Unlimited
    • Lecture 11 – Central Limit Theorem Unlimited
    • Lecture 12 – Large Deviation Theory Unlimited
    • Lecture 13 – Cramer’s Theorem for Large Deviation Unlimited
    • Lecture 14 – Introduction to Markov Processes Unlimited
    • Lecture 15 – Discrete Time Markov Chain 1 Unlimited
    • Lecture 16 – Discrete Time Markov Chain 2 Unlimited
    • Lecture 17 – Discrete Time Markov Chain 3 Unlimited
    • Lecture 18 – Discrete Time Markov Chain 4 Unlimited
    • Lecture 19 – Discrete Time Markov Chain 5 Unlimited
    • Lecture 20 – Continuous Time Markov Chain 1 Unlimited
    • Lecture 21 – Continuous Time Markov Chain 2 Unlimited
    • Lecture 22 – Continuous Time Markov Chain 3 Unlimited
    • Lecture 23 – Martingale Process Unlimited
    • Lecture 24 – Martingale Process (cont.) Unlimited

About the instructor

5 5

Instructor Rating

6

Reviews

4637

Courses

24151

Students

Profile Photo
OpenCoursa
We are an educational and skills marketplace to accommodate the needs of skills enhancement and free equal education across the globe to the millions. We are bringing courses and trainings every single day for our users. We welcome everyone woth all ages, all background to learn. There is so much available to learn and deliver to the people.