Algorithm for direct sampling from conditional distributions of toric models
Abstract
We show that contiguity relations of hypergeometric functions of several variables give a direct sampling algorithm from the conditional distribution of toric models in statistics. The algorithm is based on a Markov chain on a lattice generated by a matrix $A$. A correspondence between decomposable graphical models and $A$-hypergeometric systems is discussed. We give a sum formula of special values of $A$-hypergeometric polynomials. Some examples with implementations are presented.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Publication details
- Journal / source
- Algebraic Statistics
- Volume
- 17
- Issue
- 1
- Pages
- 151–181
- Publication date
- 21 June 2026
- Language
- EN