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Minimal invariant Markov basis for sampling contingency tables with fixed marginals

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  • Satoshi Aoki
  • Akimichi Takemura

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  • Satoshi Aoki & Akimichi Takemura, 2008. "Minimal invariant Markov basis for sampling contingency tables with fixed marginals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(2), pages 229-256, June.
    • Handle: RePEc:spr:aistmt:v:60:y:2008:i:2:p:229-256
    DOI: 10.1007/s10463-006-0089-x
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    References listed on IDEAS

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    1. Akimichi Takemura & Satoshi Aoki, 2004. "Some characterizations of minimal Markov basis for sampling from discrete conditional distributions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 1-17, March.
    2. Peter W. F. Smith & Jonathan J. Forster & John W. McDonald, 1996. "Monte Carlo Exact Tests for Square Contingency Tables," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 159(2), pages 309-321, March.
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    Cited by:

    1. Satoshi Aoki & Takayuki Hibi & Hidefumi Ohsugi & Akimichi Takemura, 2010. "Markov basis and Gröbner basis of Segre–Veronese configuration for testing independence in group-wise selections," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(2), pages 299-321, April.
    2. Aleksandra Slavković & Xiaotian Zhu & Sonja Petrović, 2015. "Fibers of multi-way contingency tables given conditionals: relation to marginals, cell bounds and Markov bases," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(4), pages 621-648, August.

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