Probability Foundation for Electrical Engineers Video Lectures

Probability Foundation for Electrical Engineers
'Probability Foundation for Electrical Engineers' Video Lectures by Dr. Krishna Jagannathan from IIT Madras
"Probability Foundation for Electrical Engineers" - Video Lectures
1. INTRODUCTION
2. CARDINALITY AND COUNTABILITY-1
3. CARDINALITY AND COUNTABILITY-2
4. PROBABILITY SPACES-1
5. PROBABILITY SPACES-2
6. PROPERTIES OF PROBABILITY MEASURES
7. DISCRETE PROBABILITY SPACES
8. GENERATED σ-ALGEBRA, BOREL SETS
9. BOREL SETS AND LEBESGUE MEASURE-1
10. BOREL SETS AND LEBESGUE MEASURE-2
11. THE INFINITE COIN TOSS MODEL
12. CONDITIONAL PROBABILITY AND INDEPENDENCE
13. INDEPENDENCE CONTD.
14. THE BOREL-CANTELLI LEMMAS
15. RANDOM VARIABLES
16. CUMULATIVE DISTRIBUTION FUNCTION
17. TYPES OF RANDOM VARIABLES
18. CONTINUOUS RANDOM VARIABLES
19. CONTINUOUS RANDOM VARIABLES (CONTD.) AND SINGULAR RANDOM VARIABLES
20. SEVERAL RANDOM VARIABLES
21. INDEPENDENT RANDOM VARIABLES-1
22. INDEPENDENT RANDOM VARIABES-2
23. JOINTLY CONTINUOUS RANDOM VARIABLES
24. TRANSFORMATION OF RANDOM VARIABLES-1
25. TRANSFORMATION OF RANDOM VARIABLES-2
26. TRANSFORMATION OF RANDOM VARIABLES-3
27. TRANSFORMATION OF RANDOM VARIABLES-4
28. INTEGRATION AND EXPECTATION-1
29. INTEGRATION AND EXPECTATION-2
30. PROPERTIES OF INTEGRALS
31. MONOTONE CONVERGENCE THEOREM
32. EXPECTATION OF DICRETE RANDOM VARIABLES, EXPECTATION OVER DIFFERENT SPACES
33. EXPECTATION OF DICRETE RANDOM VARIABLES
34. FATOU'S LEMMA & DOMINATED CONVERGENCE THEOREM
35. VARIANCE AND COVARIANCE
36. COVARIANCE, CORRELATION COEFFICIENT
37. CONDITIONAL EXPECTATION
38. MMSE ESTIMATOR, TRANSFORMS
39. MOMENT GENERATING FUNCTION
40. CHARACTERISTIC FUNCTION - 1
41. CHARACTERISTIC FUNCTION - 2
42. CONCENTRATION INEQUALITIES
43. CONVERGENCE OF RANDOM VARIABLES - 1
44. CONVERGENCE OF RANDOM VARIABLES - 2
45. CONVERGENCE OF RANDOM VARIABLES - 3
46. CONVERGENCE OF CHARCTERISTIC FUNCTIONS, LIMIT THEOREMS
47. THE LAWS OF LARGE NUMBERS
48. THE CENTRAL LIMIT THEOREM
49. A BRIEF OVERVIEW OF MULTIVARIATE GAUSSIANS
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