Computational information geometry in statistics: theory and practice
F Critchley, P Marriott - Entropy, 2014 - mdpi.com
A broad view of the nature and potential of computational information geometry in statistics
is offered. This new area suitably extends the manifold-based approach of classical …
is offered. This new area suitably extends the manifold-based approach of classical …
When are first‒order asymptotics adequate? A diagnostic
K Anaya‒Izquierdo, F Critchley, P Marriott - Stat, 2014 - Wiley Online Library
This paper looks at boundary effects on inference in an important class of models including,
notably, logistic regression. Asymptotic results are not uniform across such models …
notably, logistic regression. Asymptotic results are not uniform across such models …
Information Geometry and Its Applications: An Overview
F Critchley, P Marriott - … Information Geometry: For Image and Signal …, 2016 - Springer
We give a personal view of what Information Geometry is, and what it is becoming, by
exploring a number of key topics: dual affine families, boundaries, divergences, tensorial …
exploring a number of key topics: dual affine families, boundaries, divergences, tensorial …
Computing with Fisher geodesics and extended exponential families
F Critchley, P Marriott - Statistics and Computing, 2016 - Springer
Recent progress using geometry in the design of efficient Markov chain Monte Carlo
(MCMC) algorithms have shown the effectiveness of the Fisher Riemannian structure …
(MCMC) algorithms have shown the effectiveness of the Fisher Riemannian structure …
Geometry of goodness-of-fit testing in high dimensional low sample size modelling
P Marriott, R Sabolova, G Van Bever… - Geometric Science of …, 2015 - Springer
We introduce a new approach to goodness-of-fit testing in the high dimensional, sparse
extended multinomial context. The paper takes a computational information geometric …
extended multinomial context. The paper takes a computational information geometric …
Towards the Geometry of Model Sensitivity: An Illustration
K Anaya-Izquierdo, F Critchley, P Marriott… - … information geometry: For …, 2017 - Springer
In statistical practice model building, sensitivity and uncertainty are major concerns of the
analyst. This paper looks at these issues from an information geometric point of view. Here …
analyst. This paper looks at these issues from an information geometric point of view. Here …
Computational information geometry in statistics: Mixture modelling
K Anaya-Izquierdo, F Critchley, P Marriott… - … Conference on Geometric …, 2013 - Springer
This paper applies the tools of computation information geometry [3]–in particular, high
dimensional extended multinomial families as proxies for the 'space of all distributions'–in …
dimensional extended multinomial families as proxies for the 'space of all distributions'–in …
Logistic regression geometry
K Anaya-Izquierdo, F Critchley, P Marriott - arXiv preprint arXiv:1304.1720, 2013 - arxiv.org
This paper looks at effects, due to the boundary, on inference in logistic regression. It shows
that first--and, indeed, higher--order asymptotic results are not uniform across the model …
that first--and, indeed, higher--order asymptotic results are not uniform across the model …
[PDF][PDF] Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling
R Sabolová, P Marriott, G Van Bever, F Critchley - pdfs.semanticscholar.org
Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling 0mm
Page 1 Introduction Pearson’s χ2 versus the deviance Other test statistics from power …
Page 1 Introduction Pearson’s χ2 versus the deviance Other test statistics from power …