LikelihoodGeometry: Macaulay2 Package

TL;DR

LikelihoodGeometry is a Macaulay2 package that provides tools for algebraic statistical models, enabling construction of likelihood correspondences and calculation of ML-degrees, facilitating algebraic analysis of statistical models.

Contribution

The package introduces methods to construct likelihood correspondences and compute ML-degrees for algebraic statistical models within Macaulay2, enhancing computational algebra tools for statistics.

Findings

Provides tools for constructing likelihood correspondences

Enables calculation of ML-degrees for models

Integrates statistical models with algebraic geometry computations

Abstract

This note introduces the $\texttt{LikelihoodGeometry}$ package for the computer algebra system $\textit{Macaulay2}$. This package gives tools to construct the likelihood correspondence of a discrete algebraic statistical model, a variety that that ties together data and their maximum likelihood estimators. This includes methods for constructing and combining popular statistical models and calculating their ML-degree.