Graphical models provide a framework for exploration of multivariate dependence patterns. The connection between graph and statistical model is made by identifying the vertices of …
We consider estimation of the covariance matrix of a multivariate random vector under the constraint that certain covariances are zero. We first present an algorithm, which we call …
P Zwiernik, C Uhler, D Richards - Journal of the Royal Statistical …, 2017 - academic.oup.com
We study parameter estimation in linear Gaussian covariance models, which are p- dimensional Gaussian models with linear constraints on the covariance matrix. Maximum …
Gaussian covariance graph models encode marginal independence among the components of a multivariate random vector by means of a graph G. These models are …
Ordered sequences of univariate or multivariate regressions provide statistical models for analysing data from randomized, possibly sequential interventions, from cohort or multi …
We study the role of partial autocorrelations in the reparameterization and parsimonious modeling of a covariance matrix. The work is motivated by and tries to mimic the …
Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the …
A set of independence statements may define the independence structure of interest in a family of joint probability distributions. This structure is often captured by a graph that …
In graphical modelling, a bi-directed graph encodes marginal independences among random variables that are identified with the vertices of the graph. We show how to transform …