Hadi Abass, H., .Mahdy.AL-Mayaly, Y., Ahmed Jawad Sharba, B. (2014). Toric Ideals for 2(■(n/2@2))×2×n/2 - Contingency Tables with Fixed Two Dimensional Marginals When n is an Even Number. Alustath, 2(2), 116-120.
Husein Hadi Abass; Yahya .Mahdy.AL-Mayaly; Bashar Ahmed Jawad Sharba. "Toric Ideals for 2(■(n/2@2))×2×n/2 - Contingency Tables with Fixed Two Dimensional Marginals When n is an Even Number". Alustath, 2, 2, 2014, 116-120.
Hadi Abass, H., .Mahdy.AL-Mayaly, Y., Ahmed Jawad Sharba, B. (2014). 'Toric Ideals for 2(■(n/2@2))×2×n/2 - Contingency Tables with Fixed Two Dimensional Marginals When n is an Even Number', Alustath, 2(2), pp. 116-120.
Hadi Abass, H., .Mahdy.AL-Mayaly, Y., Ahmed Jawad Sharba, B. Toric Ideals for 2(■(n/2@2))×2×n/2 - Contingency Tables with Fixed Two Dimensional Marginals When n is an Even Number. Alustath, 2014; 2(2): 116-120.

Toric Ideals for 2(■(n/2@2))×2×n/2 - Contingency Tables with Fixed Two Dimensional Marginals When n is an Even Number

Journal of Kufa for Mathematics and Computer
Article 1, Volume 2, Issue 2, August 2015, Pages 116-120
Authors
Husein Hadi Abass; Yahya .Mahdy.AL-Mayaly; Bashar Ahmed Jawad Sharba
Abstract
In this paper, we find Markov basis and toric ideals for2(■(n/2@2))×2×n/2- contingency tables with fixed two dimensional marginalswhen n is an even number greater than or equal 4and we give an application of 2(■(n/2@2))×2×n/2 -contingency tables in genetic algorithm
Keywords
Computational algebraic statistics; Sufficient statistics; Linear transformation; Connected graph; bipartite graph
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