algebraic statistics

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English[edit]

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Noun[edit]

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.

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