Algebraic algorithms for sampling from conditional distributions
- 1 February 1998
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 26 (1) , 363-397
- https://doi.org/10.1214/aos/1030563990
Abstract
We construct Markov chain algorithms for sampling from discrete exponential familiesconditional on a sufficient statistic. Examples include generating tables with fixed row andcolumn sums and higher dimensional analogs. The algorithms involve finding bases forassociated polynomial ideals and so an excursion into computational algebraic geometry.Keywords
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