Elements of Probability and Statistics

August 2023 - December 2023

Institute for Advancing Intelligence, TCG CREST, Kolkata.

Instructors:

Avisek Gupta, Postdoctoral Fellow, IAI, TCG CREST, Kolkata.

Swagatam Das, Professor, ECSU, ISI Kolkata.

Lecture Notes

1. Probability and Counting

2. Axiomatic Definition of Probability

3. Lecture by Dr. Swagatam Das

4. Pseudorandom Numbers Generation, Simulations of Random Experiments

5. Conditional Probability, Bayes Rule, Independence of Events

6. Lecture by Dr. Swagatam Das

7. Random Variables, Discrete Probability Distributions

8. Lectures by Dr. Swagatam Das

9. Discrete Probability Distributions

10. Lecture by Dr. Swagatam Das

11. Continuous Probability Distributions

12. Moments

13. Joint Distributions

14. Lecture by Dr. Swagatam Das

------- Mid-Semester -------

15. Joint Distributions

16. Lectures by Dr. Swagatam Das

17. Transformations