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Advances in Probability Distributions with Given Marginals

Beyond the Copulas

  • Book
  • © 1991

Overview

Editors:
  1. G. Dall’Aglio

    1. Department of Statistics, Probability and Statistical Applications, University “La Sapienza”, Rome, Italy

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  2. S. Kotz

    1. Department of Management Science and Statistics, University of Maryland, College Park, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. G. Salinetti

    1. Department of Statistics, Probability and Statistical Applications, University “La Sapienza”, Rome, Italy

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 67)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Frechet Classes: The Beginnings

    • G. Dall’aglio
    Pages 1-12

  3. Thirty Years of Copulas

    • Berthold Schweizer
    Pages 13-50

  4. Copulas and Association

    • Roger B. Nelsen
    Pages 51-74

  5. Convolutions for Dependent Random Variables

    • M. J. Frank
    Pages 75-93

  6. Probabilistic Interpretations of Copulas and Their Convex Sums

    • P. Mikusiński, H. Sherwood, M. D. Taylor
    Pages 95-112

  7. A New Approach to Dependence in Multivariate Distributions

    • S. Kotz, J. P. Seeger
    Pages 113-127

  8. A Family of Partial Orderings for Positive Dependence Among Fixed Marginal Bivariate Distributions.

    • M. H. Metry, A. R. Sampson
    Pages 129-138

  9. Indecomposable Marginal Problems

    • Hans G. Kellerer
    Pages 139-149

  10. FréChet-Bounds and Their Applications

    • Ludger Rüschendorf
    Pages 151-187

  11. Extremal Solutions in the Marginal Problem

    • Viktor Benes, Josef Stepan
    Pages 189-206

  12. On Eyraud-Farlie-Gumbel-Morgenstern Random Processes

    • Stamatis Cambanis
    Pages 207-222

  13. Back Matter

    Pages 223-231
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Keywords

Reviews

As the reader would most probably already conclude from the enthusiastic words in the first lines of this review, this book can be strongly recommended to probabilists and statisticians who deal with distributions with given marginals.
Mededelingen van het Wiskundig Genootschap

Editors and Affiliations

  • Department of Statistics, Probability and Statistical Applications, University “La Sapienza”, Rome, Italy

    G. Dall’Aglio, G. Salinetti

  • Department of Management Science and Statistics, University of Maryland, College Park, USA

    S. Kotz

Bibliographic Information

  • Book Title: Advances in Probability Distributions with Given Marginals

  • Book Subtitle: Beyond the Copulas

  • Editors: G. Dall’Aglio, S. Kotz, G. Salinetti

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-011-3466-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1991

  • Hardcover ISBN: 978-0-7923-1156-0Published: 30 April 1991

  • Softcover ISBN: 978-94-010-5534-5Published: 22 November 2012

  • eBook ISBN: 978-94-011-3466-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 231

  • Topics: Probability Theory and Stochastic Processes, Statistics, general, Real Functions

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