Association schemes

Designed experiments, algebra and combinatorics

R. A. Bailey - Collection Cambridge Studies in Advanced Mathematics

406 pages, parution le 23/02/2004

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Résumé

Association schemes are of interest to both mathematicians and statisticians and this book is written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of some recent research. This book has arisen from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to bring their understanding of association schemes up to the current state of the art.

Sommaire

Association schemes
The Bose-Mesner algebra
Combining association schemes
Incomplete-block designs
Partial balance
Families of partitions
Designs for structured sets
Groups
Posets
Subschemes, quotients, duals and products
Association schemes on the same set
Where next?
History and references.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	R. A. Bailey
Collection	Cambridge Studies in Advanced Mathematics
Parution	23/02/2004
Nb. de pages	406
Format	15,7 x 23,5
Couverture	Relié
Poids	854g
Intérieur	Noir et Blanc
EAN13	9780521824460
ISBN13	978-0-521-82446-0