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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."
From the Preface: "Jack Kiefer's sudden and unexpected death in
August, 1981, stunned his family, friends, and colleagues. Memorial
services in Cincinnati, Ohio, Berkeley, California, and Ithaca, New
York, shortly after his death, brought forth tributes from so many
who shared in his life. But it was only with the passing of time
that those who were close to him or to his work were able to begin
assessing Jack's impact as a person and intellect. About one year
after his death, an expression of what Jack meant to all of us took
place at the 1982 annual meeting of the Institute of Mathematical
Statistics and the American Statistical Association. Jack had been
intimately involved in the affairs of the IMS as a Fellow since
1957, as a member of the Council, as President in 1970, as Wald
lecturer in 1962, and as a frequent author in its journals. It was
doubly fitting that the site of this meeting was Cincinnati, the
place of his birth and residence of his mother, other family, and
friends. Three lectures were presented there at a Memorial Session
- by Jerry Sacks dealing with Jack's personal life, by Larry Brown
dealing with Jack's contributions in statistics and probability,
and by Henry Wynn dealing with Jack's contributions to the design
of experiments. These three papers, together with Jack's
bibliography, were published in the Annals of Statistics and are
included as an introduction to these volumes."
From the Preface: "The theory of optimal design of experiments as
we know it today is built on asolid 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. Kiefer's papers are sometimes difficult. In part
this is due to the precision and care he exercised, which at times
forced a consideration of pathologies and special cases...A reading
of his papers on design is replete with examples of his
scholarship, his innovativeness, ingenuity, and strength as a
researcher."
From the Preface: "Jack Kiefer's sudden and unexpected death in
August, 1981, stunned his family, friends, and colleagues. Memorial
services in Cincinnati, Ohio, Berkeley, California, and Ithaca, New
York, shortly after his death, brought forth tributes from so many
who shared in his life. But it was only with the passing of time
that those who were close to him or to his work were able to begin
assessing Jack's impact as a person and intellect. About one year
after his death, an expression of what Jack meant to all of us took
place at the 1982 annual meeting of the Institute of Mathematical
Statistics and the American Statistical Association. Jack had been
intimately involved in the affairs of the IMS as a Fellow since
1957, as a member of the Council, as President in 1970, as Wald
lecturer in 1962, and as a frequent author in its journals. It was
doubly fitting that the site of this meeting was Cincinnati, the
place of his birth and residence of his mother, other family, and
friends. Three lectures were presented there at a Memorial Session
- by Jerry Sacks dealing with Jack's personal life, by Larry Brown
dealing with Jack's contributions in statistics and probability,
and by Henry Wynn dealing with Jack's contributions to the design
of experiments. These three papers, together with Jack's
bibliography, were published in the Annals of Statistics and are
included as an introduction to these volumes."
From the Preface: "The theory of optimal design of experiments as
we know it today is built on asolid 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. Kiefer's papers are sometimes difficult. In part
this is due to the precision and care he exercised, which at times
forced a consideration of pathologies and special cases...A reading
of his papers on design is replete with examples of his
scholarship, his innovativeness, ingenuity, and strength as a
researcher."
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