We show that exponential probability models with lattice support are algebraic varieties within which computational and conceptual tools from commutative algebra can be applied. Log-linear models for contingency tables and conditional independence probability models on trees are discussed within this algebraic framework.
Computational commutative algebra in discrete statistics
RICCOMAGNO, EVA;
2002-01-01
Abstract
We show that exponential probability models with lattice support are algebraic varieties within which computational and conceptual tools from commutative algebra can be applied. Log-linear models for contingency tables and conditional independence probability models on trees are discussed within this algebraic framework.
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