Buch, Englisch, Band 84, 406 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 586 g
Designed Experiments, Algebra and Combinatorics
Buch, Englisch, Band 84, 406 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 586 g
Reihe: Cambridge Studies in Advanced Mathematics
ISBN: 978-0-521-18801-2
Verlag: Cambridge University Press
• Written to be accessible to both pure mathematicians and statisticians
• Based on a graduate course on association schemes and the optimal design of scientific experiments
• Minimum prerequisites and numerous examples and exercises make book also suitable for self-study
Association schemes are of interest to both mathematicians and statisticians and this book was 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 advanced research. Originally published in 2004, this book arose 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 develop their understanding of association schemes.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Mathematik | Informatik Mathematik Algebra
Weitere Infos & Material
1. Association schemes
2. The Bose-Mesner algebra
3. Combining association schemes
4. Incomplete-block designs
5. Partial balance
6. Families of partitions
7. Designs for structured sets
8. Groups
9. Posets
10. Subschemes, quotients, duals and products
11. Association schemes on the same set
12. Where next?
13. History and references.
