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Notes / Mathematics / Probability & Statistics

Probability & Statistics

Random variables, distributions, Bayes theorem, information theory, and estimation

1.
Probability Theory
Axioms, random variables, distributions, expectations, covariance, and change of variables
2.
Probability Basics WIP
Fundamental concepts of probability theory
3.
Probability Note 2 WIP
Probability theory continued — joint distributions, expectations, and transformations
4.
MLE & MAP Estimation WIP
Maximum Likelihood Estimation and Maximum A Posteriori estimation
5.
Bayesian Inference WIP
Bayesian approach to statistical inference
6.
Information Theory
Entropy, Information Gain, Gini Impurity, Cross-Entropy, KL-Divergence
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