## Konu özeti

• ### Genel

Probability And Random Variables

 Instructor: Elif Uysal-Bıyıkoğlu

Added: 21 February 2011

To watch videos via YouTube:

• ### Konu 1

Introduction to probability theory; Review of set theory
• ### Konu 2

Probability Spaces; Axioms and properties or probability
• ### Konu 3

Discrete and Continuous Probability Laws, Conditional Probability
• ### Konu 4

Total Probability Theorem, Bayes's Rule
• ### Konu 5

Independence, Conditional Independence
• ### Konu 6

Independent Trials, Counting
• ### Konu 7

Discrete Random Variables
• ### Konu 8

Expectation and Variance
• ### Konu 9

Properties of Expectation and Variance, Joint PMFs

• ### Konu 10

Conditional PMFs
• ### Konu 11

Conditioning one Random Variable on another; conditional expectation

• ### Konu 12

Iterated Expectation; Independence of a random variable from an event

• ### Konu 13

Independence of Random Variables

• ### Konu 14

Continuous Random Variables

• ### Konu 15

Expectation and the Cumulative Distribution Function

• ### Konu 16

The Gaussian CDF

• ### Konu 17

Conditional PDFs, Joint PDFs

• ### Konu 18

Conditioning one random variable on another

• ### Konu 19

Independence, Continuous Bayes's Rule; Derived Distributions

• ### Konu 20

Derived Distributions

• ### Konu 21

Functions of Two Random Variables; Correlation and Covariance

• ### Konu 22

Applications of Covariance

• ### Konu 23

Transforms (Moment Generating Functions)

• ### Konu 24

Markov and Chebychev Inequalities, Convergence In Probability

• ### Konu 25

The Weak Law of Large Numbers

• ### Konu 26

The Central Limit Theorem

• ### Konu 27

The Bernoulli Process

• ### Konu 28

The Poisson Process