Tags

Distributions

Aug 20, 2024 Probability and Statistics 28 min read

Probability and Statistics (2): Random Variables and the Distributions That Matter

A rigorous tour of random variables, PMFs, PDFs, CDFs, and every distribution that matters in practice — Bernoulli, Binomial, Poisson, Gaussian, Exponential, Gamma, and Beta — with derivations, proofs, and Python …

Oct 21, 2021 Functional Analysis 72 min read

Functional Analysis (11): Distributions and Sobolev Spaces — Generalized Solutions

Distributions extend the notion of function to handle derivatives that don't exist classically — Sobolev spaces provide the right setting for weak solutions to PDE.