ORTHOGONAL ARRAYS. - Theory and Applications

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John Stufken et A-S Hedayat - ORTHOGONAL ARRAYS. - Theory and Applications.
This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work.... Lire la suite
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Résumé

This is the first book on the subject since its introduction more than fifty years ago, and it can be used as a graduate text or as a reference work. It features all of the key results, many very useful tables, and a large number of exercises and research problems. Most of the arrays that can be obtained by the methods in this book are available electronically. The book will be of interest to researchers and graduate students in one of the most fascinating areas of discrete mathematics, connected to statistics and coding theory, with applications to computer science and cryptography. It will be useful for anyone who is running experiments, whether in a chemistry lab or a manufacturing plant (trying to make those alloys stronger), or in agricultural or medical research.

Sommaire

    • Rao's Inequalities and Improvements
    • Orthogonal Arrays and Galois Fields
    • Orthogonal Arrays and Error-Correcting Codes
    • Construction of Orthogonal Arrays from Codes
    • Orthogonal Arrays and Difference Schemes
    • Orthogonal Arrays and Hadamard Matrices
    • Orthogonal Arrays and Latin Squares
    • Mixed Orthogonal Arrays
    • Further Constructions and Related Structures
    • Statistical Application of Orthogonal Arrays
    • Tables of Orthogonal Arrays
    • Galois Fields.

Caractéristiques

  • Date de parution
    12/10/1999
  • Editeur
  • Collection
  • ISBN
    0-387-98766-5
  • EAN
    9780387987668
  • Présentation
    Relié
  • Nb. de pages
    416 pages
  • Poids
    0.76 Kg
  • Dimensions
    16,0 cm × 24,1 cm × 2,6 cm

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À propos des auteurs

A.S. Hedayat has been Professor of Statistics and Senior Scholar in the Department of Mathematics, Statistics, and Computer Science, University of Illinois, Chicago, since 1974. His areas of research include design of experiments, medical and environmental statistics, and sampling. He has published over 100 articles in scientific journals and is co-author of the books Factorial Designs and Design and Inference in Finite Population Sampling. Professor Hedayat is a Fellow of the Institute of Mathematical Statistics, a Fellow of the American Statistical Association, and a member of the International Statistical Institute. He has served on the editorial boards of the Annals of Statistics, the Journal of the American Statistical Association, the Journal of Statistical Planning and Inference, and Communications in Statistics. N.J.A. Sloane has been with AT&T Bell Labs (now AT&T Labs) since 196,9 He is an AT&T Fellow, a member of the National Academy of Engineers, and a Fellow of the IEEE. He was the 1998 Shannon Lecturer of the IEEE Information Theory Society and has twice received the Information Theory Society Prize Paper Award. Dr. Sloane was the 1984 Hedrick Lecturer of the Mathematical Association of America and received the M.A.A. Chauvenet Prize in 1979. His design of experiments program Gosset is widely used in industry. His other books include Theory of Error-Correcting Codes (1979) with F.J. MacWilliams; Sphere-Packing, Lattices and Groups (1988) with J.H. Conway; and Encyclopedia of Integer Sequences (1995) with S. Plouffe. His On-Line Encyclopedia of Integer Sequences receives thousands of visits each day. John Stufken is Professor of Statistics at Iowa State University where he has been since 1988. His research interest is primarily in design of experiments. Professor Stufken is a member of the editorial boards of Communications in Statistics and the Journal of Statistical Planning and Inference. He was a 1988 recipient of the M.G. Michael Award for Excellence in Research from the Franklin College of Arts and Sciences at the University of Georgia.

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