Title
Normal Binary Hierarchical Models
Abstract
Each simplicial complex and integer vector yields a vector configuration whose combinatorial properties are important for the analysis of contingency tables. We study the normality of these vector configurations including a description of operations on simplicial complexes that preserve normality, constructions of families of minimally nonnormal complexes, and computations classifying all of the normal complexes on up to six vertices. We repeat this analysis for compressed vector configurations, classifying all of the compressed complexes on up to six vertices.
Year
DOI
Venue
2017
10.1080/10586458.2016.1142911
EXPERIMENTAL MATHEMATICS
Keywords
DocType
Volume
algebraic statistics,contingency tables,Hilbert basis,Groebner basis,combinatorics
Journal
26.0
Issue
ISSN
Citations 
2.0
1058-6458
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Daniel Irving Bernstein141.86
Seth Sullivant29319.17