algebraic statistics

algebraic statistics (uncountable)

1. (mathematics, statistics) A discipline within mathematical statistics in which algebra is used to describe and analyse problems;
   specifically, the use of algebraic geometry and commutative algebra in statistics.
   • 2005, Lior Pachter, Bernd Sturmfels (editors), Algebraic Statistics for Computational Biology, Volume 13, Cambridge University Press, page ix,

     That workshop was built on the algebraic statistics paradigm, which is that statistical models for discrete data can be regarded as solutions to systems of polynomial equations.

   • 2009, Mathias Drton, Bernd Sturmfels, Seth Sullivant, Lectures on Algebraic Statistics, Springer (Birkhäuser), page vii,

     Algebraic statistics is concerned with the development of techniques in algebraic geometry, commutative algebra, and combinatorics, to address problems in statistics and its applications.

   • 2010, G. Pistone, E. Riccomagno, M. P. Rogantin, 5: Methods in Algebraic Statistics for the Design of Experiments, Luc Pronzato, Anatoly Zhigljavsky (editors), Optimal Design and Related Areas in Optimization and Statistics, Springer, page 97,

     We present a brief review of classical experimental design in the spirit of algebraic statistics.

• algebraic statistical