Jack Carl Kiefer collected papers

著者

• Kiefer, Jack
• Brown, Lawrence D.
• Institute of Mathematical Statistics

書誌事項

Jack Carl Kiefer collected papers

edited by Lawrence D. Brown ... [et al.]

Springer-Verlag, c1985-c1986

• v. 1 : us
• v. 1 : gw
• v. 2 : us
• v. 2 : gw
• v. 3 : us
• v. 3 : gw
• v. [4] suppl.

統一タイトル

Works. 1984

注記

"Published with the co-operation of the Institute of Mathematical Statistics."

Includes bibliographies

収録内容

• 1. Statistical inference and probability, 1951-1963
• 2. Statistical inference and probability, 1964-1984
• 3. Design of experiments
• [4] Supplementary volume

内容説明・目次

巻冊次

v. 2 : us ISBN 9780387960036

内容説明

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.

巻冊次

v. 3 : us ISBN 9780387960043

内容説明

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" [61] for approximate or exact theory, and "patchwork" [60] for exact theory. In [29] 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 Y ouden 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. In contrast with the emphasis on the particular, he was a very generous scholar.

巻冊次

v. [4] suppl. ISBN 9780387963839

内容説明

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."

目次

Commentary on Papers [8] and [20].- Commentary on Paper [4].- Commentary on Papers [9], [10], [17].- Commentary on Papers [18] and [37].- Commentary on Paper [16].- Commentary on Paper [19].- Commentary on Papers [12] and [14].- Commentary on Papers [13], [15], [21], [25], [32].- Commentary on Papers [50], [51], [56].- Commentary on Papers [47], [52], [54].- Commentary on Papers [13], [15], [25], [65], [68].- Commentary on Papers [67], [69], [70], [71].

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詳細情報

• NII書誌ID(NCID): BA03209547
• ISBN:
  • 0387960031
  • 3540960031
  • 0387960031
  • 3540960031
  • 038796004X
  • 354096004X
  • 0387963839
• LCCN: 84010598
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: 4 v.
• 大きさ: 25 cm
• 分類:
  • LCC : QA276.A12
  • DC19 : 519.5
• 件名:
  • LCSH : Mathematical statistics -- Collected works