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Herausgeber: 
  • Henry P. Wynn
  • Lawrence D. Brown
  • Ingram Olkin
  • Jerome Sacks
    Autor(en): 
  • Jack Carl Kiefer
  • Collected Papers Supplementary Volume 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   Auf Bestellung (Lieferzeit unbekannt)
    Veröffentlichung:  November 2016  
    Genre:  Schulbücher 
     
    Angewandte Mathematik / Applications of Mathematics / Applied mathematics / C / Engineering mathematics / History / History of Mathematical Sciences / Mathematics
    ISBN:  9781493965922 
    EAN-Code: 
    9781493965922 
    Verlag:  Springer 
    Einband:  Kartoniert  
    Sprache:  English  
    Serie:  Springer Collected Works in Mathematics  
    Dimensionen:  H 235 mm / B 155 mm / D  
    Gewicht:  118 gr 
    Seiten:  56 
    Illustration:  VIII, 56 p. 10 illus., schwarz-weiss Illustrationen 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    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." 
      



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