Collected Papers III

Design of Experiments
1. Auflage 1985, Nachdruck 2015 of the 1985 Auflage 2015
ISBN: 978-1-4939-3498-0
Verlag: Springer

Buch, Englisch, 718 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 1112 g

Reihe: Springer Collected Works in Mathematics

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 ofoptimal 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."

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Kiefer, Jack Carl

Wynn, Henry P.

Brown, Lawrence

Sacks, Jerome

Olkin, Ingram

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Wirtschaftswissenschaften Betriebswirtschaft Management Forschung & Entwicklung (F&E), Innovation
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Forschungsmethodik, Wissenschaftliche Ausstattung