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A First Course in Order Statistics

A First Course in Order Statistics

Part of Classics in Applied Mathematics

  • Date Published: September 2008
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716481

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About the Authors
  • This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

    • Written in a simple and informal style with numerous examples and exercises
    • No advanced mathematical or statistical background is required
    • Now updated by the authors with suggestions for further reading
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    Product details

    • Date Published: September 2008
    • format: Paperback
    • isbn: 9780898716481
    • length: 300 pages
    • dimensions: 228 x 151 x 15 mm
    • weight: 0.43kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface to classics edition
    Further reading
    Preface
    Acknowledgments
    Notations and abbreviations
    Errata
    1. Introduction and preview
    2. Basic distribution theory
    3. Discrete order statistics
    4. Order statistics from some specific distributions
    5. Moment relations, bounds, and approximations
    6. Characterizations using order statistics
    7. Order statistics in statistical inference
    8. Asymptotic theory
    9. Record values
    Bibliography
    Author index
    Subject index.

  • Authors

    Barry C. Arnold, University of California, Riverside
    Barry C. Arnold is a Distinguished Professor in the Department of Statistics at the University of California, Riverside.

    N. Balakrishnan, McMaster University, Ontario
    N. Balakrishnan is a Professor in the Department of Mathematics and Statistics at McMaster University, Hamilton, Ontario.

    H. N. Nagaraja, Ohio State University
    H. N. Nagaraja is a Professor in the Department of Statistics at The Ohio State University, Columbus.

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