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Some characterizations of minimal Markov basis for sampling from discrete conditional distributions

Author

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  • Akimichi Takemura
  • Satoshi Aoki

Abstract

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Suggested Citation

  • 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.
    • Handle: RePEc:spr:aistmt:v:56:y:2004:i:1:p:1-17
    DOI: 10.1007/BF02530522
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    Citations

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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. Ogawa, Mitsunori & Takemura, Akimichi, 2012. "Markov bases for typical block effect models of two-way contingency tables," Journal of Multivariate Analysis, Elsevier, vol. 112(C), pages 219-229.
    3. Yukito Iba & Nen Saito & Akimasa Kitajima, 2014. "Multicanonical MCMC for sampling rare events: an illustrative review," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 66(3), pages 611-645, June.
    4. Benchong Li & Liya Fu, 2018. "Exact test of goodness of fit for binomial distribution," Statistical Papers, Springer, vol. 59(3), pages 851-860, September.
    5. 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.

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