Springer Collected Works in Mathematics

Collected Papers Supplementary Volume

Authors: Kiefer, Jack Carl

Editors: Brown, L.D., Olkin, I., Sacks, J., Wynn, H.P. (Eds.)

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About this book

The commentaries in this volume provide reviews of selected papers from the three-volume Collected Papers of Jack Carl Kiefer. From the Preface of Volume III: "The theory of optimal design of experiments as we know it today is built on a solid foundation developed by Jack Kiefer, who formulated and resolved some of the major problems of data collection via experimentation. A principal ingredient in his formulation was statistical efficiency of a design. Kiefer's theoretical contributions to optimal designs can be broadly classified into several categories: He rigorously defined, developed, and interrelated statistical notions of optimality. He developed powerful tools for verifying and searching for optimal designs; this includes the "averaging technique"... for approximate or exact theory, and "patchwork"... for exact theory... Kiefer and Wolfowitz provided a theorem now known as the Equivalence Theorem. This result has become a classical theorem in the field. One important feature of this theorem is that it provides a measure of how far a given design is from the optimal design. He characterized and constructed families of optimal designs. Some of the celebrated ones are balanced block designs, generalized Youden designs, and weighing designs. He also developed combinatorial structures of these designs." 

Buy this book

Softcover $79.99
price for USA
  • ISBN 978-1-4939-6592-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Collected Papers Supplementary Volume
Authors
Editors
  • Lawrence D. Brown
  • Ingram Olkin
  • Jerome Sacks
  • Henry P. Wynn
Series Title
Springer Collected Works in Mathematics
Copyright
1986
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
Softcover ISBN
978-1-4939-6592-2
Series ISSN
2194-9875
Edition Number
1
Number of Pages
VIII, 56
Number of Illustrations and Tables
10 b/w illustrations
Additional Information
Reprint 2016 of the 1986 Edition
Topics