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
Kolmogorov axioms - Wikipedia
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?
Do Bayesians accept Kolmogorov\'s axioms?
bayesian probability and measure theory
Does the law of large numbers explain why quantum mechanics leads to statistical regularities?
stochastic calculus - Why is Brownian motion useful in finance?
Algebraic Probability -- Almost Sure
254A, Notes 5: Free probability \| What\'s new