Graphical Markov models: overview

N Wermuth, DR Cox - arXiv preprint arXiv:1407.7783, 2014 - arxiv.org
We describe how graphical Markov models started to emerge in the last 40 years, based on
three essential concepts that had been developed independently more than a century ago …

Sequences of regressions and their independences

N Wermuth, K Sadeghi - Test, 2012 - Springer
Ordered sequences of univariate or multivariate regressions provide statistical models for
analysing data from randomized, possibly sequential interventions, from cohort or multi …

Probability distributions with summary graph structure

N Wermuth - 2011 - projecteuclid.org
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 …

Traceable regressions

N Wermuth - International Statistical Review, 2012 - Wiley Online Library
In this paper, we define and study the concept of traceable regressions and apply it to some
examples. Traceable regressions are sequences of conditional distributions in joint or single …

Palindromic Bernoulli distributions

GM Marchetti, N Wermuth - 2016 - projecteuclid.org
We introduce and study a subclass of joint Bernoulli distributions which has the palindromic
property. For such distributions the vector of joint probabilities is unchanged when the order …

Distortion of effects caused by indirect confounding

N Wermuth, DR Cox - Biometrika, 2008 - academic.oup.com
Undetected confounding may severely distort the effect of an explanatory variable on a
response variable, as defined by a stepwise data-generating process. The best known type …

Graphical Markov models, unifying results and their interpretation

N Wermuth - arXiv preprint arXiv:1505.02456, 2015 - arxiv.org
Graphical Markov models combine conditional independence constraints with graphical
representations of stepwise data generating processes. The models started to be formulated …

Triangular systems for symmetric binary variables

N Wermuth, GM Marchetti, DR Cox - 2009 - projecteuclid.org
We introduce and study distributions of sets of binary variables that are symmetric, that is
each has equally probable levels. The joint distribution of these special types of binary …

Concepts and a case study for a flexible class of graphical Markov models

N Wermuth, DR Cox - … and Complex Data Structures: Festschrift in Honour …, 2013 - Springer
To observe and understand relations among several features of individuals or objects is one
of the central tasks in many substantive fields of research, including the medical, social …

[PDF][PDF] Graphical Markov Models.

N Wermuth - 2011 - Citeseer
Graphical Markov models are multivariate statistical models which are currently under
vigorous development and which combine two simple but most powerful notions, generating …