Electrical – Probability Foundation for Electrical Engineers

Mod-01 Lec-01 INTRODUCTION

Mod-01 Lec-02 CARDINALITY AND COUNTABILITY-1

Mod-01 Lec-03 CARDINALITY AND COUNTABILITY-2

Mod-01 Lec-05 PROBABILITY SPACES-2

Mod-01 Lec-06 PROPERTIES OF PROBABILITY MEASURES

Mod-01 Lec-07 DISCRETE PROBABILITY SPACES

Mod-01 Lec-08 GENERATED S-ALGEBRA, BOREL SETS

Mod-01 Lec-09 BOREL SETS AND LEBESGUE MEASURE-1

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

Mod-01 Lec-11 THE INFINITE COIN TOSS MODEL

Mod-01 Lec-12 CONDITIONAL PROBABILITY AND INDEPENDENCE

Mod-01 Lec-13 INDEPENDENCE CONTD.

Mod-01 Lec-14 THE BOREL-CANTELLI LEMMAS

Mod-01 Lec-15 RANDOM VARIABLES

Mod-01 Lec-16 CUMULATIVE DISTRIBUTION FUNCTION

Mod-01 Lec-17 TYPES OF RANDOM VARIABLES

Mod-01 Lec-18 CONTINUOUS RANDOM VARIABLES

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

Mod-01 Lec-20 SEVERAL RANDOM VARIABLES

Mod-01 Lec-21 INDEPENDENT RANDOM VARIABLES-1

Mod-01 Lec-22 INDEPENDENT RANDOM VARIABES-2

Mod-01 Lec-23 JOINTLY CONTINUOUS RANDOM VARIABLES

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

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

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

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

Mod-01 Lec-28 INTEGRATION AND EXPECTATION-1

Mod-01 Lec-29 INTEGRATION AND EXPECTATION-2

Mod-01 Lec-30 PROPERTIES OF INTEGRALS

Mod-01 Lec-31 MONOTONE CONVERGENCE THEOREM

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

Mod-01 Lec-33 EXPECTATION OF DICRETE RANDOM VARIABLES

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

Mod-01 Lec-35 VARIANCE AND COVARIANCE

Mod-01 Lec-36 COVARIANCE, CORRELATION COEFFICIENT

Mod-01 Lec-37 CONDITIONAL EXPECTATION

Mod-01 Lec-38 MMSE ESTIMATOR, TRANSFORMS

Mod-01 Lec-39 MOMENT GENERATING FUNCTION

Mod-01 Lec-40 CHARACTERISTIC FUNCTION – 1

Mod-01 Lec-41 CHARACTERISTIC FUNCTION – 2

Mod-01 Lec-42 CONCENTRATION INEQUALITIES

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

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

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

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

Mod-01 Lec-47 THE LAWS OF LARGE NUMBERS

Mod-01 Lec-48 THE CENTRAL LIMIT THEOREM

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