Probability Theory

Foundations

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Kolmogorov axioms - Wikipedia

• url: https://en.wikipedia.org/wiki/Kolmogorov_axioms

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Basic Questions

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

• url: https://philosophy.stackexchange.com/questions/113570/is-probability-physical-or-idealistic-is-probability-an-inherent-part-of-nature
• topics: Probability Theory, Philosophy, Physics

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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

• url: https://math.stackexchange.com/questions/15055/in-a-family-with-two-children-what-are-the-chances-if-one-of-the-children-is-a/15085#15085

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

• url: https://stats.stackexchange.com/questions/639166/a-and-b-are-independent-does-pa-%e2%88%a9-bc-pac-pbc-hold

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

• url: https://math.stackexchange.com/questions/1228187/lattices-made-by-a-wedge-b-ab-and-a-vee-b-ab-ab

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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

• url: https://www.askamathematician.com/2010/01/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/

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

• url: https://math.stackexchange.com/questions/4862926/is-the-axiom-of-choice-inconsistent-with-countable-additivity

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Conditional Probability

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Conditioning (probability) - Wikipedia

• url: https://en.wikipedia.org/wiki/Conditioning_%28probability%29

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Conditional probability - Wikipedia

• url: https://en.wikipedia.org/wiki/Conditional_probability

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Law of total probability - Wikipedia

• url: https://en.wikipedia.org/wiki/Law_of_total_probability

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Chain rule (probability) - Wikipedia

• url: https://en.wikipedia.org/wiki/Chain_rule_%28probability%29

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Bayesian Probability

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

• url: https://stats.stackexchange.com/questions/126056/do-bayesians-accept-kolmogorovs-axioms

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bayesian probability and measure theory - Mathematics Stack Exchange

• url: https://math.stackexchange.com/questions/2310252/bayesian-probability-and-measure-theory

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Stochastic Processes

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

• url: https://philosophy.stackexchange.com/questions/104871/does-the-law-of-large-numbers-explain-why-quantum-mechanics-leads-to-statistical

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

• url: https://quant.stackexchange.com/questions/50167/why-is-brownian-motion-useful-in-finance

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Algebraic Probability

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Algebraic Probability -- Almost Sure

• url: https://almostsuremath.com/2019/11/10/algebraic-probability/

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

• url: https://terrytao.wordpress.com/2010/02/10/245a-notes-5-free-probability/

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