Linear Statistical Models

A collection of introductory ideas in Linear Statistical Models.

Content by idea can be found below.

Matrix Inverse

An introduction to outcomes, outcome spaces, events, probability, mutually exclusive events, exhaustive events, set laws, conditional probability, partitions of the outcome space, the addition law, the multiplication law (Bayes’ Theorem), and the law of total probability.

Symmetric Idempotence

An introduction to independent events, random variables, state spaces, countable sets, discrete random variables, probability mass functions, and expected value.

Random Vectors

An introduction to continuous random variables, probability density functions, cumulative density functions, expected value, variance, and standard deviation.

Linear Models

An introduction to tail moments, Bernoulli random variables, binomial random variables, binomial shape, and geometric random variables.

Normal Random Vectors

An introduction to negative binomial random variables, negative binomial shape, hypergeometric random variables, and Poisson random variables.

Thank you for reading to the end.