algebraic statistics

English

Noun

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^[1], 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”, in 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.

Derived terms

• algebraic statistical

Translations

discipline that uses algebra in the study of statistics

• Armenian: հանրահաշվական վիճակագրություն (hanrahašvakan vičakagrutʻyun)
• German: algebraische Statistik