Markov bases and toric ideals for some contingency tables

The main objective of this work is to study Markov bases and toric ideals for p(v−1)(p−v)/2v × v× p/v - contingency tables that has fixed two-dimensional marginal when p is a multiple of v and greater than or equal to 2v. Moreover, the connected bipartite graph is also constructed by using elements...

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Main Authors: Mohammed, Nadia Faiq, Rakhimov, Isamiddin Sattarovich, Shitan, Mahendran
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57186/
http://psasir.upm.edu.my/id/eprint/57186/1/Markov%20bases%20and%20toric%20ideals%20for%20some%20contingency%20tables.pdf
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author Mohammed, Nadia Faiq
Rakhimov, Isamiddin Sattarovich
Shitan, Mahendran
author_facet Mohammed, Nadia Faiq
Rakhimov, Isamiddin Sattarovich
Shitan, Mahendran
author_sort Mohammed, Nadia Faiq
building UPM Institutional Repository
collection Online Access
description The main objective of this work is to study Markov bases and toric ideals for p(v−1)(p−v)/2v × v× p/v - contingency tables that has fixed two-dimensional marginal when p is a multiple of v and greater than or equal to 2v. Moreover, the connected bipartite graph is also constructed by using elements of Markov basis. This work is an extension on results, that has been found by Hadi and Salman in 2014.
first_indexed 2025-11-15T10:51:42Z
format Conference or Workshop Item
id upm-57186
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:51:42Z
publishDate 2016
publisher AIP Publishing
recordtype eprints
repository_type Digital Repository
spelling upm-571862017-09-08T09:41:43Z http://psasir.upm.edu.my/id/eprint/57186/ Markov bases and toric ideals for some contingency tables Mohammed, Nadia Faiq Rakhimov, Isamiddin Sattarovich Shitan, Mahendran The main objective of this work is to study Markov bases and toric ideals for p(v−1)(p−v)/2v × v× p/v - contingency tables that has fixed two-dimensional marginal when p is a multiple of v and greater than or equal to 2v. Moreover, the connected bipartite graph is also constructed by using elements of Markov basis. This work is an extension on results, that has been found by Hadi and Salman in 2014. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57186/1/Markov%20bases%20and%20toric%20ideals%20for%20some%20contingency%20tables.pdf Mohammed, Nadia Faiq and Rakhimov, Isamiddin Sattarovich and Shitan, Mahendran (2016) Markov bases and toric ideals for some contingency tables. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6). 10.1063/1.4952494
spellingShingle Mohammed, Nadia Faiq
Rakhimov, Isamiddin Sattarovich
Shitan, Mahendran
Markov bases and toric ideals for some contingency tables
title Markov bases and toric ideals for some contingency tables
title_full Markov bases and toric ideals for some contingency tables
title_fullStr Markov bases and toric ideals for some contingency tables
title_full_unstemmed Markov bases and toric ideals for some contingency tables
title_short Markov bases and toric ideals for some contingency tables
title_sort markov bases and toric ideals for some contingency tables
url http://psasir.upm.edu.my/id/eprint/57186/
http://psasir.upm.edu.my/id/eprint/57186/
http://psasir.upm.edu.my/id/eprint/57186/1/Markov%20bases%20and%20toric%20ideals%20for%20some%20contingency%20tables.pdf