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?
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
probability - Do Bayesians accept Kolmogorov\'s axioms? - Cross Validated
bayesian probability and measure theory - Mathematics Stack Exchange
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 -- Almost Sure
254A, Notes 5: Free probability | What\'s new