README.md

Probability Theory

(Up) | Wikipedia: Probability theory | See also: Mathematics

Web resources

Foundations

Kolmogorov axioms - Wikipedia

Basic Questions

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

In a family with two children, what are the chances, if one of the children is a girl, that both children are girls? ★★★

A and B are independent. Does P(A ∩ B\|C) = P(A\|C) · P(B\|C) hold? ★★★

lattices made by \$a\wedge b = ab\$ and \$a\vee b=a+b-ab\$ ★

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 ★★★

Is the Axiom of Choice inconsistent with Countable Additivity? ★

Conditional Probability

Conditioning (probability) - Wikipedia

Conditional probability - Wikipedia

Law of total probability - Wikipedia

Chain rule (probability) - Wikipedia

Bayesian Probability

Do Bayesians accept Kolmogorov\'s axioms? ★★★

bayesian probability and measure theory ★

Stochastic Processes

Does the law of large numbers explain why quantum mechanics leads to statistical regularities? ★

Why is Brownian motion useful in finance? ★

Algebraic Probability

Algebraic Probability -- Almost Sure ★

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

(in Mathematics) Readings | Mathematics for Computer Science | Electrical Engineering and Computer Science | MIT OpenCourseWare ★★

Papers

Probability Theory without Bayes\' Rule ★

Maxwell\'s daemon, the Turing machine, and Jaynes\' robot ★★

(in Order Theory) Deriving Laws from Ordering Relations (online @ archive.org) ★★★ 💭

Books

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

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

Bayesian Reasoning and Machine Learning (borrow @ archive.org)