Association Schemes

ISBN-13: 9780521824460 / Angielski / Twarda / 2004 / 406 str.

R. A. Bailey; Rosemary Bailey; B. Bollobas

Opis

R.A. Bailey covers in this study the mathematics of association schemes--an area lying between pure mathematics and statistics that relates to the optimal design of scientific experiments. The book is accessible to mathematicians as well as statisticians. Arising from a graduate course taught by the author, it appeals to students as well as researchers as a valuable reference work from which to learn about the statistical/combinatorial aspects of their work.

Recenzje

Review of the hardback: '… a welcome addition to researchers in the area of association schemes as it is comprehensive and indicates likely directions for future work.' Journal of the Royal Statistical Society, Series A

Spis treści

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.