Probability

An Introduction to Probability Theory and Its Applications

Introduction to Probability and Mathematical Statistics

Notes

Rigorous graduate-level probability + statistics; useful for inference and ML foundations.

Probability Theory: The Logic of Science

Alea: A Modern C++ Library for Algebraic Random Elements

The Bernoulli Model: A Probabilistic Framework for Data Structures and Types

This blog post introduces the Bernoulli Model, a framework for understanding probabilistic data structures and incorporating uncertainty into data types, particularly Boolean values. It highlights the model's utility in optimizing space and accuracy …

algebraic.dist: Treating Distributions as First-Class Algebraic Objects in R

Most statistical software treats probability distributions as static parameter sets you pass to sampling or density functions. algebraic.dist takes a different approach: distributions are algebraic objects that compose, transform, and combine using …

Algebra over distribution (random elements) objects