Electrical - Probability Foundation for Electrical Engineers (English)

   Saturday, May 03, 2025   

Starting a new Lecture Notes Series on Electrical - Probability Foundation for Electrical Engineers

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Electrical - Probability Foundation for Electrical Engineers By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 INTRODUCTION

Lecture 2: Mod-01 Lec-02 CARDINALITY AND COUNTABILITY-1

Lecture 3: Mod-01 Lec-03 CARDINALITY AND COUNTABILITY-2

Lecture 4: Mod-01 Lec-04 PROBABILITY SPACES-1

Lecture 5: Mod-01 Lec-05 PROBABILITY SPACES-2

Lecture 6: Mod-01 Lec-06 PROPERTIES OF PROBABILITY MEASURES

Lecture 7: Mod-01 Lec-07 DISCRETE PROBABILITY SPACES

Lecture 8: Mod-01 Lec-08 GENERATED Σ-ALGEBRA, BOREL SETS

Lecture 9: Mod-01 Lec-09 BOREL SETS AND LEBESGUE MEASURE-1

Lecture 10: Mod-01 Lec-10 BOREL SETS AND LEBESGUE MEASURE-2

Lecture 11: Mod-01 Lec-11 THE INFINITE COIN TOSS MODEL

Lecture 12: Mod-01 Lec-12 CONDITIONAL PROBABILITY AND INDEPENDENCE

Lecture 13: Mod-01 Lec-13 INDEPENDENCE CONTD.

Lecture 14: Mod-01 Lec-14 THE BOREL-CANTELLI LEMMAS

Lecture 15: Mod-01 Lec-15 RANDOM VARIABLES

Lecture 16: Mod-01 Lec-16 CUMULATIVE DISTRIBUTION FUNCTION

Lecture 17: Mod-01 Lec-17 TYPES OF RANDOM VARIABLES

Lecture 18: Mod-01 Lec-18 CONTINUOUS RANDOM VARIABLES

Lecture 19: Mod-01 Lec-19 CONTINUOUS RANDOM VARIABLES (CONTD.) AND SINGULAR RANDOM VARIABLES

Lecture 20: Mod-01 Lec-20 SEVERAL RANDOM VARIABLES

Lecture 21: Mod-01 Lec-21 INDEPENDENT RANDOM VARIABLES-1

Lecture 22: Mod-01 Lec-22 INDEPENDENT RANDOM VARIABES-2

Lecture 23: Mod-01 Lec-23 JOINTLY CONTINUOUS RANDOM VARIABLES

Lecture 24: Mod-01 Lec-24 TRANSFORMATION OF RANDOM VARIABLES-1

Lecture 25: Mod-01 Lec-25 TRANSFORMATION OF RANDOM VARIABLES-2

Lecture 26: Mod-01 Lec-26 TRANSFORMATION OF RANDOM VARIABLES-3

Lecture 27: Mod-01 Lec-27 TRANSFORMATION OF RANDOM VARIABLES-4

Lecture 28: Mod-01 Lec-28 INTEGRATION AND EXPECTATION-1

Lecture 29: Mod-01 Lec-29 INTEGRATION AND EXPECTATION-2

Lecture 30: Mod-01 Lec-30 PROPERTIES OF INTEGRALS

Lecture 31: Mod-01 Lec-31 MONOTONE CONVERGENCE THEOREM

Lecture 32: Mod-01 Lec-32 EXPECTATION OF DICRETE RANDOM VARIABLES, EXPECTATION OVER DIFFERENT SPACES

Lecture 33: Mod-01 Lec-33 EXPECTATION OF DICRETE RANDOM VARIABLES

Lecture 34: Mod-01 Lec-34 FATOU’S LEMMA & DOMINATED CONVERGENCE THEOREM

Lecture 35: Mod-01 Lec-35 VARIANCE AND COVARIANCE

Lecture 36: Mod-01 Lec-36 COVARIANCE, CORRELATION COEFFICIENT

Lecture 37: Mod-01 Lec-37 CONDITIONAL EXPECTATION

Lecture 38: Mod-01 Lec-38 MMSE ESTIMATOR, TRANSFORMS

Lecture 39: Mod-01 Lec-39 MOMENT GENERATING FUNCTION

Lecture 40: Mod-01 Lec-40 CHARACTERISTIC FUNCTION – 1

Lecture 41: Mod-01 Lec-41 CHARACTERISTIC FUNCTION – 2

Lecture 42: Mod-01 Lec-42 CONCENTRATION INEQUALITIES

Lecture 43: Mod-01 Lec-43 CONVERGENCE OF RANDOM VARIABLES – 1

Lecture 44: Mod-01 Lec-44 CONVERGENCE OF RANDOM VARIABLES – 2

Lecture 45: Mod-01 Lec-45 CONVERGENCE OF RANDOM VARIABLES – 3

Lecture 46: Mod-01 Lec-46 CONVERGENCE OF CHARCTERISTIC FUNCTIONS, LIMIT THEOREMS

Lecture 47: Mod-01 Lec-47 THE LAWS OF LARGE NUMBERS

Lecture 48: Mod-01 Lec-48 THE CENTRAL LIMIT THEOREM

Lecture 49: Mod-01 Lec-49 A BRIEF OVERVIEW OF MULTIVARIATE GAUSSIANS