scholarly journals Markov bases and toric ideals for some contingency tables

2016 ◽  
Author(s):  
N. F. Mohammed ◽  
I. S. Rakhimov ◽  
M. Shitan
Keyword(s):  
Contingency Tables ◽  
Toric Ideals ◽  
Markov Bases

scholarly journals Indispensable monomials of toric ideals and Markov bases

2008 ◽  
Vol 43 (6-7) ◽  
pp. 490-507 ◽  
Author(s):  
Satoshi Aoki ◽  
Akimichi Takemura ◽  
Ruriko Yoshida
Keyword(s):  
Toric Ideals ◽  
Markov Bases

scholarly journals Toric Ideals for (25n3-66n2+41n)×3×n Contingency Tables

2020 ◽  
Vol 15 (7) ◽  
pp. 1609-1617
Author(s):  
Hussein S. Mohammed Hussein ◽  
Abdulrahman H. Majeed
Keyword(s):  
Contingency Tables ◽  
Toric Ideals

scholarly journals The largest group of invariance for Markov bases and toric ideals

2008 ◽  
Vol 43 (5) ◽  
pp. 342-358 ◽  
Author(s):  
Satoshi Aoki ◽  
Akimichi Takemura
Keyword(s):  
Toric Ideals ◽  
Markov Bases

scholarly journals Minimal and minimal invariant Markov bases of decomposable models for contingency tables

Bernoulli ◽  
2010 ◽  
Vol 16 (1) ◽  
pp. 208-233 ◽  
Author(s):  
Hisayuki Hara ◽  
Satoshi Aoki ◽  
Akimichi Takemura
Keyword(s):  
Contingency Tables ◽  
Markov Bases

scholarly journals A Family of Quasisymmetry Models

2015 ◽  
Vol 6 (1) ◽  
Author(s):  
Maria Kateri ◽  
Fatemeh Mohammadi ◽  
Bernd Sturmfels
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Contingency Tables ◽  
Likelihood Estimation ◽  
Parameter Family ◽  
Toric Ideals ◽  
Statistical Issues

We present a one-parameter family of models for square contingency tables that interpolates between the classical quasisymmetry model and its Pearsonian analogue. Algebraically, this corresponds to deformations of toric ideals associated with graphs. Our discussion of the statistical issues centers around maximum likelihood estimation. 

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