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Collected Papers Supplementary Volume (Paperback, 1st ed. 1986)
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Collected Papers Supplementary Volume (Paperback, 1st ed. 1986)
Series: Springer Collected Works in Mathematics
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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."
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