scholarly journals Markov bases and toric ideals for some contingency tables

2016 ◽  
Author(s):  
N. F. Mohammed ◽  
I. S. Rakhimov ◽  
M. Shitan
2008 ◽  
Vol 43 (6-7) ◽  
pp. 490-507 ◽  
Author(s):  
Satoshi Aoki ◽  
Akimichi Takemura ◽  
Ruriko Yoshida
Keyword(s):  

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

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

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

2015 ◽  
Vol 6 (1) ◽  
Author(s):  
Maria Kateri ◽  
Fatemeh Mohammadi ◽  
Bernd Sturmfels

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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