Axioms of Probability

Mathematics

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Axioms of Probability course, in this course we explore the foundational principles and mathematical framework governing probability theory.

Axioms of Probability

Mathematics

Probability and Random Processes प्रायिकता एवं यादृच्छिक प्रक्रियाएँ Introductory Video

Lec 1 Introduction

Lec 2 Algebra of Events

Lec 3 Axioms of Probability

Lec 4 Example 1

Lec 5 Example 2

Lec 6 Example 3

Lec 7 Example 4

Lec 8 Example 5

Lec 9 Conditional Probability

Lec 10 Bayes Theorem 1

Lec 11 Bayes Theorem 2

Lec 12 A Brief Review

Lec 13 Example 1

Lec 14 Example 2

Lec 15 Example 3

Lec 16 Example 4

Lec 17 Example 5

Lec 18 Independent Events

Lec 19 A Brief Review

Lec 20 Example 1

Lec 21 Example 2

Lec 22 Example 3

Lec 23 Example 4

Lec 24 Discrete Random Variables

Lec 25 Expectation

Lec 26 Moments

Lec 27 Variance

Lec 28 Binomial Random Variables

Lec 29 Poisson Random Variables

Lec 30 More on Poission Random Variables

Lec 31 Properties of the CDF

Lec 32 A Brief Review I

Lec 33 A Brief Review II

Lec 34 Example 1

Lec 35 Example 2

Lec 36 Example 3

Lec 37 Example 4

Lec 38 Example 5

Lec 39 Example 6

Lec 40 Example 7

Lec 41 Example 8

Lec 42 Example 9

Lec 43 Continuous Random Variables

Lec 44 Expectation of Continuous random variables

Lec 45 The uniform and the Gaussian Random variables

Lec 46 The mean and variance of a Gaussian Random Variable

Lec 47 The exponential random variable and other continuous distributions

Lec 48 A Brief Review

Lec 49 Example 1

Lec 50 Example 2

Lec 51 Example 3

Lec 52 Example 4

Lec 53 Example 5

Lec 54 Functions of a random varible

Lec 55 Functions of a random varible

Lec 56 The moment generating function

Lec 57 Conditional Distributions

Lec 58 Bivariate Distributions

Lec 59 Independence of Random Varibles

Lec 60 Jointly Gaussian Random Varibales and Circular symmetry

Lec 61 Jointly Discrete Random Variables

Lec 62 One Function of two random variables

Lec 63 Order Statistics

Lec 64 Two functions of two random variables

Lec 65 Joint Moments

Lec 66 Joint Charactristic Functions

Lec 67 Conditional Distributions for multiple random variables

Lec 68 Conditional Expectations

Lec 69 Examples

Lec 70 Random Vectors

Lec 71 Independence of Random Varibles

Lec 72 Complex Random Varibales

Lec 73 Covariance Matrices

Lec 74 Conditional Densities

Lec 75 Gaussianity

Lec 76 Chi Squared Densities

Lec 77 Examples