On the toric algebra of graphical models

JOURNAL ARTICLE published 1 June 2006 in The Annals of Statistics

Authors: Dan Geiger | Christopher Meek | Bernd Sturmfels

Stratified exponential families: Graphical models and model selection

JOURNAL ARTICLE published 1 April 2001 in The Annals of Statistics

Authors: Dan Geiger | David Heckerman | Henry King | Christopher Meek

Logical and Algorithmic Properties of Conditional Independence and Graphical Models

JOURNAL ARTICLE published 1 December 1993 in The Annals of Statistics

Authors: Dan Geiger | Judea Pearl

Parameter priors for directed acyclic graphical models and the characterization of several probability distributions

JOURNAL ARTICLE published 1 October 2002 in The Annals of Statistics

Authors: Dan Geiger | David Heckerman

Asymptotic Model Selection for Directed Networks with Hidden Variables

BOOK CHAPTER published 1998 in Learning in Graphical Models

Authors: Dan Geiger | David Heckerman | Christopher Meek

Boosting for high-dimensional linear models

JOURNAL ARTICLE published 1 April 2006 in The Annals of Statistics

Authors: Peter Bühlmann

Normal toric ideals of low codimension

JOURNAL ARTICLE published August 2009 in Journal of Pure and Applied Algebra

Authors: Pierre Dueck | Serkan Hoşten | Bernd Sturmfels

Marginalization and Collapsibility in Graphical Interaction Models

JOURNAL ARTICLE published 1 June 1990 in The Annals of Statistics

Authors: Morten Frydenberg

Efficient likelihood estimation in state space models

JOURNAL ARTICLE published 1 August 2006 in The Annals of Statistics

Authors: Cheng-Der Fuh

Brownian motion tree models are toric

JOURNAL ARTICLE published 5 January 2021 in Kybernetika

Authors: Bernd Sturmfels | Caroline Uhler | Piotr Zwiernik

Unifying Markov properties for graphical models

JOURNAL ARTICLE published 1 October 2018 in The Annals of Statistics

Authors: Steffen Lauritzen | Kayvan Sadeghi

Bayesian Integrals on Toric Varieties

JOURNAL ARTICLE published 31 March 2023 in SIAM Journal on Applied Algebra and Geometry

Authors: Michael Borinsky | Anna-Laura Sattelberger | Bernd Sturmfels | Simon Telen

Invariant normal models with recursive graphical Markov structure

JOURNAL ARTICLE published 1 August 2000 in The Annals of Statistics

Authors: Jesper Madsen

On some problems in the article Efficient Likelihood Estimation in State Space Models by Cheng-Der Fuh [Ann. Statist. 34 (2006) 2026–2068]

JOURNAL ARTICLE published 1 April 2010 in The Annals of Statistics

Authors: Jens Ledet Jensen

Combinatorial inference for graphical models

JOURNAL ARTICLE published 1 April 2019 in The Annals of Statistics

Authors: Matey Neykov | Junwei Lu | Han Liu

Counterfactual analyses with graphical models based on local independence

JOURNAL ARTICLE published 1 August 2012 in The Annals of Statistics

Authors: Kjetil Røysland

Graphical models for nonstationary time series

JOURNAL ARTICLE published 1 August 2023 in The Annals of Statistics

Authors: Sumanta Basu | Suhasini Subba Rao

Geometry of maximum likelihood estimation in Gaussian graphical models

JOURNAL ARTICLE published 1 February 2012 in The Annals of Statistics

Authors: Caroline Uhler

Pseudo-maximum likelihood estimation of ARCH(∞) models

JOURNAL ARTICLE published 1 June 2006 in The Annals of Statistics

Authors: Peter M. Robinson | Paolo Zaffaroni

Groups acting on Gaussian graphical models

JOURNAL ARTICLE published 1 August 2013 in The Annals of Statistics

Authors: Jan Draisma | Sonja Kuhnt | Piotr Zwiernik