# Support sets in exponential families and oriented matroid theory

@article{Rauh2011SupportSI, title={Support sets in exponential families and oriented matroid theory}, author={J. Rauh and Thomas Kahle and N. Ay}, journal={Int. J. Approx. Reason.}, year={2011}, volume={52}, pages={613-626} }

The closure of a discrete exponential family is described by a finite set of equations corresponding to the circuits of an underlying oriented matroid. These equations are similar to the equations used in algebraic statistics, although they need not be polynomial in the general case. This description allows for a combinatorial study of the possible support sets in the closure of an exponential family. If two exponential families induce the same oriented matroid, then their closures have the… CONTINUE READING

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