Probabilistic Conditional Independence Structures / Edition 1

ISBN-13:	9781852338916
Publisher:	Springer London
Publication date:	11/24/2004
Series:	Information Science and Statistics
Edition description:	2005
Pages:	285
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Probabilistic Conditional Independence Structures provides the mathematical description of probabilistic conditional independence structures; the author uses non-graphical methods of their description, and takes an algebraic approach. The monograph presents the methods of structural imsets and supermodular functions, and deals with independence implication and equivalence of structural imsets. Motivation, mathematical foundations and areas of application are included, and a rough overview of graphical methods is also given. In particular, the author has been careful to use suitable terminology, and presents the work so that it will be understood by both statisticians, and by researchers in artificial intelligence. The necessary elementary mathematical notions are recalled in an appendix.