Graphical Models

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ID: 290532
1996
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Abstract
Abstract The idea of modelling systems using graph theory has its origin in several scientific areas: in statistical physics (the study of large particle systems), in genetics (studying inheritable properties of natural species), and in interactions in contingency tables. The use of graphical models in statistics has increased considerably over recent years and the theory has been greatly developed and extended. This book provides the first comprehensive and authoritative account of the theory of graphical models and is written by a leading expert in the field. It contains the fundamental graph theory required and a thorough study of Markov properties associated with various type of graphs. The statistical theory of log-linear and graphical models for contingency tables, covariance selection models, and graphical models with mixed discrete-continous variables in developed detail. Special topics, such as the application of graphical models to probabilistic expert systems, are described briefly, and appendices give details of the multivarate normal distribution and of the theory of regular exponential families. The author has recently been awarded the RSS Guy Medal in Silver 1996 for his innovative contributions to statistical theory and practice, and especially for his work on graphical models.
Reference Key
openalex_W4388323202 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Steffen L. Lauritzen
Journal Oxford University Press eBooks
Year 1996
DOI
10.1093/oso/9780198522195.001.0001
URL
https://doi.org/10.1093/oso/9780198522195.001.0001
Keywords Keywords not found

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