Graphical Models (Oxford Statistical Science Series)

 
9780198522195: Graphical Models (Oxford Statistical Science Series)
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The application of graph theory to modelling systems began in several scientific areas, among them statistical physics (the study of large particle systems), genetics (studying inheritable properties of natural species), and interactions in contingency tables. The use of graphical models in statistics has increased considerably in these and other areas such as artificial intelligence, and the theory has been greatly developed and extended. This is the first comprehensive and authoritative account of the theory of graphical models. Written by a leading expert in the field, it contains the fundamentals graph required and a thorough study of Markov properties associated with various type of graphs, the statistical theory of log-linear and graphical models, and graphical tables with mixed discrete-continuous 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 multivariate normal distribution and of the theory of regular exponential families.

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About the Author:

Steffen L. Lauritzen is at University of Aalborg.

Review:


"An excellent research monograph in mathematical statistics. . . .Highly recommended."--Choice


"This research monograph provides a comprehensive account of the theory of graphical models in multivariate statistics written by a leading expert in the field."--Mathematical Review


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Steffen L. Lauritzen
Published by Oxford University Press, United Kingdom (1996)
ISBN 10: 0198522193 ISBN 13: 9780198522195
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Book Description Oxford University Press, United Kingdom, 1996. Hardback. Condition: New. Language: English. Brand new Book. 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 authoritativeaccount 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 especiallyfor his work on graphical models. Seller Inventory # LHB9780198522195

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