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Probability Theory

Probability, Statistics, and Data

Has a few fairly decent explanations of basic concepts in it. Several editions from 2019 to 2021 are available online.

Probability Theory (Jaynes)

A critical foundational construction of probability theory, conceptualizing it as an extension of logic.

Probability Theory without Bayes\' Rule

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Kolmogorov axioms - Wikipedia

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Is probability physical or idealistic? Is probability an inherent part of nature/reality?

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probability - In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? - Mathematics Stack Exchange

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probability - A and B are independent. Does P(A ∩ B\|C) = P(A\|C) · P(B\|C) hold? - Cross Validated

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lattices made by \$a\wedge b = ab\$ and \$a\vee b=a+b-ab\$ - Mathematics Stack Exchange

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Q: Is it possible to choose an item from an infinite set of items such that each one has an equal chance of being selected? | Ask a Mathematician / Ask a Physicist

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probability theory - Is the Axiom of Choice inconsistent with Countable Additivity? - Mathematics Stack Exchange

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probability - Do Bayesians accept Kolmogorov\'s axioms? - Cross Validated

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bayesian probability and measure theory - Mathematics Stack Exchange

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Does the law of large numbers explain why quantum mechanics leads to statistical regularities? - Philosophy Stack Exchange

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stochastic calculus - Why is Brownian motion useful in finance? - Quantitative Finance Stack Exchange

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Algebraic Probability -- Almost Sure

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254A, Notes 5: Free probability \| What\'s new

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