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Optimal Unbiased Estimation of Variance Components

  • Book
  • © 1986

Overview

Authors:
  1. James D. Malley

    1. Division of Computer Research and Technology, Laboratory of Statistical and Mathematical Methodology, National Institutes of Health, Bethesda, USA

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Part of the book series: Lecture Notes in Statistics (LNS, volume 39)

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Table of contents (11 chapters)

  1. Front Matter

    Pages N2-IX
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  2. The Basic Model and The Estimation Problem

    • James D. Malley
    Pages 1-10

  3. Basic Linear Technique

    • James D. Malley
    Pages 11-14

  4. Linearization of the Basic Model

    • James D. Malley
    Pages 15-28

  5. The Ordinary Least Squares Estimates

    • James D. Malley
    Pages 29-35

  6. The Seely-Zyskind Results

    • James D. Malley
    Pages 36-59

  7. The General Solution to Optimal Unbiased Estimation

    • James D. Malley
    Pages 60-69

  8. Background from Algebra

    • James D. Malley
    Pages 70-92

  9. The Structure of Semisimple Associative and Jordan Algebras

    • James D. Malley
    Pages 93-98

  10. The Algebraic Structure of Variance Components

    • James D. Malley
    Pages 99-128

  11. Statistical Consequences of the Algebraic Structure Theory

    • James D. Malley
    Pages 129-137

  12. Concluding Remarks

    • James D. Malley
    Pages 138-139

  13. Back Matter

    Pages 140-146
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Keywords

Authors and Affiliations

  • Division of Computer Research and Technology, Laboratory of Statistical and Mathematical Methodology, National Institutes of Health, Bethesda, USA

    James D. Malley

Bibliographic Information

  • Book Title: Optimal Unbiased Estimation of Variance Components

  • Authors: James D. Malley

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4615-7554-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-0-387-96449-2Published: 01 December 1986

  • eBook ISBN: 978-1-4615-7554-2Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: X, 146

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Applications of Mathematics

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