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Statistica Sinica 24 (2014), 447-461





A SIMPLIFICATION OF COMPUTING MARKOV BASES

FOR GRAPHICAL MODELS WHOSE UNDERLYING

GRAPHS ARE SUSPENSIONS OF GRAPHS


Shoufeng Cai$^{1, 2}$, Benchong Li$^{1}$ and Jianhua Guo$^{1}$


$^{1}$Northeast Normal University and $^{2}$Jilin University


Abstract: In this paper, we extend the framework of Dobra and Sullivant (2004) for computing Markov bases for some models, compute Markov bases for model selections by applying our method, and analyse a contingency table.



Key words and phrases: Graphical model, Markov basis, saturation of ideal, suspension of graph.

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