Thesis

### Graphical Gaussian models with symmetries

Abstract:

This thesis is concerned with graphical Gaussian models with equality constraints on the concentration or partial correlation matrix introduced by Højsgaard and Lauritzen (2008) as RCON and RCOR models. The models can be represented by vertex and edge coloured graphs G = (V,ε), where parameters associated with equally coloured vertices or edges are restricted to being identical.

In the first part of this thesis we study the problem of estimability of a non-zero model mean μ if the co...

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### Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Jesus College
Role:
Author

#### Contributors

Division:
MPLS
Department:
Statistics
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:5f69e996-3f8e-4bfa-891f-0e1ec8d0f9fb
Local pid:
ora:6474
Deposit date:
2012-09-13