Linear Transformations

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Related lectures (31)

Page 3 of 4

Explores stochastic models for communications, covering mean, variance, characteristic functions, inequalities, various discrete and continuous random variables, and properties of different distributions.

Linear Combinations: Moment-Generating Functions

Explores moment-generating functions, linear combinations, and normality of random variables.

Continuous Random Variables: Basics

Explores continuous random variables, cdf, pdf, convolution, and sum of dice.

Probability Distributions: Basics and Properties

Covers the basics of probability distributions, including mean, variance, and properties of random variables.

Probability Theory: Midterm Solutions

Covers the solutions to the midterm exam of a Probability Theory course, including calculations of probabilities and expectations.

Statistics: Random Variables and Probability Density Functions

Introduces random variables, probability density functions, and Gaussian distribution in statistics.

Calculations of Expectation

Covers the calculation of expectation and variance for different types of random variables, including discrete and continuous ones.

Random Variables: Expectation and Independence

Explores random variables, expectation, and independence in probability theory.

Continuous Random Variables

Covers continuous random variables, probability density functions, and distributions, with practical examples.

Probability and Statistics

Covers Simpson's paradox, probability distributions, and real-life examples in probability and statistics.