Total positivity in Markov structures

DOI10.1214/16-AOS1478zbMath1414.60010arXiv1510.01290WikidataQ57394002 ScholiaQ57394002MaRDI QIDQ2012931

Kayvan Sadeghi, Caroline Uhler, Piotr Zwiernik, Nanny Wermuth, Shaun M. Fallat, Steffen L. Lauritzen

Publication date: 3 August 2017

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01290

zbMATH Keywords

positive dependenceassociationMarkov propertygraphical modelsconcentration graphfaithfulnessconditional Gaussian distributionlog-linear interactions

Mathematics Subject Classification ID

Multivariate analysis (62H99) Inequalities; stochastic orderings (60E15) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (18)

Total positivity in exponential families with application to binary variables ⋮ Palindromic Bernoulli distributions ⋮ Coordinate-wise transformation of probability distributions to achieve a Stein-type identity ⋮ Unnamed Item ⋮ A multitest procedure for testing MTP2 for Gaussian distributions ⋮ Convolutions of totally positive distributions with applications to kernel density estimation ⋮ Total positivity in multivariate extremes ⋮ Supermodular and directionally convex comparison results for general factor models ⋮ Estimation of Monge matrices ⋮ Variational analysis of constrained M-estimators ⋮ Dependence in elliptical partial correlation graphs ⋮ Mean residual life processes and associated submartingales ⋮ Game-theoretic derivation of upper hedging prices of multivariate contingent claims and submodularity ⋮ Maximum likelihood estimation in Gaussian models under total positivity ⋮ The geometry of gaussoids ⋮ Faithfulness of Probability Distributions and Graphs ⋮ Bimonotone subdivisions of point configurations in the plane ⋮ Locally associated graphical models and mixed convex exponential families

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