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YouTube

Multiple Random Variables - Joint and Conditional Distributions

Professor Knudson via YouTube

Overview

This course covers the learning outcomes and goals of understanding joint and conditional distributions of multiple random variables. Students will learn about joint distributions, joint cumulative distribution functions, conditional distributions, independent random variables, covariance, and variance of the sum of independent random variables. The course teaches the skills of analyzing and interpreting joint and conditional distributions, calculating covariance and variance, and understanding the relationships between multiple random variables. The teaching method includes video lectures on both discrete and continuous joint distributions, along with explanations of conditional distributions and independent random variables. This course is intended for learners interested in probability theory, statistics, data analysis, and related fields.

Syllabus

Joint Distributions (Discrete Video 1).
Joint Distributions (Discrete Video 2).
Joint Distributions (Continuous Video 1).
Joint Distributions (Continuous Video 2).
Joint Distributions (Continuous Video 3).
Joint Distributions (Continuous Video 4).
Joint Cumulative Distribution Functions (CDFs).
Conditional Distributions: An Introduction.
Conditional Distributions: Uniform Over a Circle.
Conditional Distributions: Expectations.
Independent Random Variables (Video 1).
Independent Random Variables (Video 2).
Covariance of Random Variables.
Variance of the Sum of Independent Random Variables.

Taught by

Professor Knudson

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