Total Positivity in Markov Structures
Accepted version
Peer-reviewed
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Type
Article
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Abstract
We discuss properties of distributions that are multivariate totally positive of order two (MTP
Description
Keywords
association, concentration graph, conditional Gaussian distribution, faithfulness, graphical models, log-linear interactions, Markov property, positive dependence
Journal Title
Annals of Statistics
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Journal ISSN
0090-5364
Volume Title
45
Publisher
Institute of Mathematical Statistics
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Sponsorship
SF was supported in part by an NSERC Discovery Research Grant, KS by grant #FA9550-12-1-0392 from the U.S. Air Force Office of Scientic Research (AFOSR) and the Defense Advanced Research Projects Agency (DARPA), CU by the Austrian Science Fund (FWF) Y 903-N35, and PZ by the European Union Seventh Framework Programme PIOF-GA-2011-300975.