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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
28/2009

Support Sets in Exponential Families and Oriented Matroid Theory

Johannes Rauh, Thomas Kahle and Nihat Ay

Abstract

We discuss how to obtain an implicit description of the closure of a discrete exponential family with a finite set of equations derived from 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 framework allows us to study the possible support sets of an exponential families with the help of oriented matroid theory. In particular, if two exponential families induce the same oriented matroid, then they have the same support sets.

Received:
Jul 7, 2009
Published:
Jul 14, 2009
MSC Codes:
52C40, 62B05, 14P15
Keywords:
exponential families, oriented matroids, support sets

Related publications

inJournal
2011 Repository Open Access
Johannes Rauh, Thomas Kahle and Nihat Ay

Support sets in exponential families and oriented matroid theory

In: International journal of approximate reasoning, 52 (2011) 5, pp. 613-626