Collected Papers - Supplementary Volume - Hardcover

Kiefer, Jack Carl

Hardcover

ISBN 10: 0387963839 ISBN 13: 9780387963839

Publisher: Springer-Verlag New York Inc., 1986

Synopsis

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."

About this title

From the Back Cover

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."

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1986
• Language: English
• ISBN 10: 0387963839
• ISBN 13: 9780387963839
• Binding: Hardcover
• Number of pages: 56
• Editor: Brown Lawrence D., Olkin Ingram, Sacks Jerome, Wynn Henry P.