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Mod-01 Lec-09 BOREL SETS AND LEBESGUE MEASURE-1
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Classroom Contents
Probability Foundation for Electrical Engineers
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- 1 Mod-01 Lec-01 INTRODUCTION
- 2 Mod-01 Lec-02 CARDINALITY AND COUNTABILITY-1
- 3 Mod-01 Lec-03 CARDINALITY AND COUNTABILITY-2
- 4 Mod-01 Lec-04 PROBABILITY SPACES-1
- 5 Mod-01 Lec-05 PROBABILITY SPACES-2
- 6 Mod-01 Lec-06 PROPERTIES OF PROBABILITY MEASURES
- 7 Mod-01 Lec-07 DISCRETE PROBABILITY SPACES
- 8 Mod-01 Lec-08 GENERATED Σ-ALGEBRA, BOREL SETS
- 9 Mod-01 Lec-09 BOREL SETS AND LEBESGUE MEASURE-1
- 10 Mod-01 Lec-10 BOREL SETS AND LEBESGUE MEASURE-2
- 11 Mod-01 Lec-11 THE INFINITE COIN TOSS MODEL
- 12 Mod-01 Lec-12 CONDITIONAL PROBABILITY AND INDEPENDENCE
- 13 Mod-01 Lec-13 INDEPENDENCE CONTD.
- 14 Mod-01 Lec-14 THE BOREL-CANTELLI LEMMAS
- 15 Mod-01 Lec-15 RANDOM VARIABLES
- 16 Mod-01 Lec-16 CUMULATIVE DISTRIBUTION FUNCTION
- 17 Mod-01 Lec-17 TYPES OF RANDOM VARIABLES
- 18 Mod-01 Lec-18 CONTINUOUS RANDOM VARIABLES
- 19 Mod-01 Lec-19 CONTINUOUS RANDOM VARIABLES (CONTD.) AND SINGULAR RANDOM VARIABLES
- 20 Mod-01 Lec-20 SEVERAL RANDOM VARIABLES
- 21 Mod-01 Lec-21 INDEPENDENT RANDOM VARIABLES-1
- 22 Mod-01 Lec-22 INDEPENDENT RANDOM VARIABES-2
- 23 Mod-01 Lec-23 JOINTLY CONTINUOUS RANDOM VARIABLES
- 24 Mod-01 Lec-24 TRANSFORMATION OF RANDOM VARIABLES-1
- 25 Mod-01 Lec-25 TRANSFORMATION OF RANDOM VARIABLES-2
- 26 Mod-01 Lec-26 TRANSFORMATION OF RANDOM VARIABLES-3
- 27 Mod-01 Lec-27 TRANSFORMATION OF RANDOM VARIABLES-4
- 28 Mod-01 Lec-28 INTEGRATION AND EXPECTATION-1
- 29 Mod-01 Lec-29 INTEGRATION AND EXPECTATION-2
- 30 Mod-01 Lec-30 PROPERTIES OF INTEGRALS
- 31 Mod-01 Lec-31 MONOTONE CONVERGENCE THEOREM
- 32 Mod-01 Lec-32 EXPECTATION OF DICRETE RANDOM VARIABLES, EXPECTATION OVER DIFFERENT SPACES
- 33 Mod-01 Lec-33 EXPECTATION OF DICRETE RANDOM VARIABLES
- 34 Mod-01 Lec-34 FATOU’S LEMMA & DOMINATED CONVERGENCE THEOREM
- 35 Mod-01 Lec-35 VARIANCE AND COVARIANCE
- 36 Mod-01 Lec-36 COVARIANCE, CORRELATION COEFFICIENT
- 37 Mod-01 Lec-37 CONDITIONAL EXPECTATION
- 38 Mod-01 Lec-38 MMSE ESTIMATOR, TRANSFORMS
- 39 Mod-01 Lec-39 MOMENT GENERATING FUNCTION
- 40 Mod-01 Lec-40 CHARACTERISTIC FUNCTION – 1
- 41 Mod-01 Lec-41 CHARACTERISTIC FUNCTION – 2
- 42 Mod-01 Lec-42 CONCENTRATION INEQUALITIES
- 43 Mod-01 Lec-43 CONVERGENCE OF RANDOM VARIABLES – 1
- 44 Mod-01 Lec-44 CONVERGENCE OF RANDOM VARIABLES – 2
- 45 Mod-01 Lec-45 CONVERGENCE OF RANDOM VARIABLES – 3
- 46 Mod-01 Lec-46 CONVERGENCE OF CHARCTERISTIC FUNCTIONS, LIMIT THEOREMS
- 47 Mod-01 Lec-47 THE LAWS OF LARGE NUMBERS
- 48 Mod-01 Lec-48 THE CENTRAL LIMIT THEOREM
- 49 Mod-01 Lec-49 A BRIEF OVERVIEW OF MULTIVARIATE GAUSSIANS
