Probability Theory

(Up) | See also: Mathematics

Web resources

Foundations

Kolmogorov axioms - Wikipedia

Basic Questions

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

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

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

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

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

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

Conditional Probability

Conditioning (probability) - Wikipedia

Conditional probability - Wikipedia

Law of total probability - Wikipedia

Chain rule (probability) - Wikipedia

Bayesian Probability

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

bayesian probability and measure theory - Mathematics Stack Exchange

Stochastic Processes

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

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

Algebraic Probability

Algebraic Probability -- Almost Sure

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

Papers

Probability Theory without Bayes\' Rule

Books

Probability, Statistics, and Data (online @ mathstat.slu.edu)

Probability Theory (Jaynes) (online @ www.med.mcgill.ca, bayes.wustl.edu, archive.org, archive.org)