Algebraic statistics

Algebraic statistics is a branch of mathematical statistics that focuses on the use of algebraic, geometric, and combinatorial methods in statistics. While the use of these methods has a long history in statistics, algebraic statistics is continuously forging new interdisciplinary connections.

This growing field has established itself squarely at the intersection of several areas of mathematics, including, for instance, multilinear algebra, commutative algebra, algebraic geometry, convex geometry, combinatorics, theoretical problems in statistics, and their practical applications. For example, algebraic statistics has been useful for experimental design, parameter estimation, and hypothesis testing.