Algebraic statistics /
Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebr...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
[2018]
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| Series: | Graduate studies in mathematics ;
v. 194. |
| Subjects: |
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
> Real algebraic and real analytic geometry
> Semialgebraic sets and related spaces.
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)
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