Collected Papers Supplementary Volume

1986. Auflage 2016
ISBN: 978-1-4939-6592-2
Verlag: Springer

Buch, Englisch, 56 Seiten, Format (B × H): 154 mm x 238 mm, Gewicht: 129 g

Reihe: Springer Collected Works in Mathematics

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 importantfeature 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." 

Zielgruppe

Research

Autoren/Hrsg.

Kiefer, Jack Carl

Brown, Lawrence D

Olkin, Ingram

Sacks, Jerome

Wynn, Henry P

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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].