Probability theory is the backbone of statistics and econometrics.
The material on this subject is primarily about the study of random variables.
A lack of understanding of what these are is responsible for a lot of confusion!
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Probability Basics
Fundamental ideas including conditional probability and how to calculate probabilities
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Random Variables
The core concept and the main types of random variable
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Expected Values and Variance
Expected values, variance, and standard deviation explained – covering both discrete and continuous cases
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Several Random Variables
Dealing with several random variables at once, including joint distributions
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Common Distributions
Basic distributions, with key facts and formulae
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Conditioning
Updating what we know about one variable in light of another
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Generating Functions
Some advanced tools for finding probabilities and expected values
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Convergence of Random Variables
Convergence in distribution and probability, and almost sure convergence – intuition and examples