Markov bases for noncommutative Fourier analysis of ranked data

Authors:
Persi Diaconis;Nicholas Eriksson
Affiliations:
Departments of Mathematics and Statistics, Stanford University, United States;Department of Mathematics, University of California at Berkeley, United States
Venue:
Journal of Symbolic Computation
Year:
2006

Citing 0
Cited 2

The largest group of invariance for Markov bases and toric ideals

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Quadratic Gröbner bases for smooth 3×3 transportation polytopes

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Abstract

Statistical models for genetic linkage analysis of k locus diseases are k-dimensional subvarieties of a (3^k-1)-dimensional probability simplex. We determine the algebraic invariants of these models with general characteristics for k=1; in particular ...