Title: Algebraic Statistics
Subjects: Mathematical statistics, Geometry, algebraic, Commutative algebra, Textbooks, Algebraic Geometry, Statistics -- Instructional exposition (textbooks, tutorial papers, etc.)., Algebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.)., Commutative algebra -- Computational aspects and applications -- Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative algebra -- Computational aspects and applications -- Solving polynomial systems; resultants, Algebraic geometry -- Special varieties -- Determinantal varieties, Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra, Algebraic geometry -- Real algebraic and real analytic geometry -- Semialgebraic sets and related spaces, Algebraic geometry -- Tropical geometry -- Tropical geometry, Convex and discrete geometry -- Polytopes and polyhedra -- Lattice polytopes (including relations with commutative algebra and algebraic geometry), Probability theory and stochastic processes -- Markov processes -- Markov chains (discrete-time Markov processes on discrete state spaces), Statistics -- Parametric inference -- Hypothesis testing, Statistics -- Multivariate analysis -- Contingency tables, Operations research, mathematical programming -- Mathematical programming -- Integer programming, Biology and other natural sciences -- Genetics and population dynamics -- Problems related to evolution