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Multivariate Stochastic Dominance: A Parametric Approach

Author

Listed:
  • Noureddine Kouaissah

    (International University of Rabat, RBS College of Management, BEARLab)

  • Sergio Ortobelli lozza

    (University of Bergamo, Department of MEQM)

Abstract

This paper proposes parameterized multivariate stochastic dominance (PMSD) rules under different distributional assumptions for a class of non-satiable risk-seeking investors. In particular, it determines the PMSD rules for both stable symmetric and Student's t distributions. Methodologically, the PMSD rules for ordering are based on comparison of i) location parameters, ii) dispersion parameters, and iii) either stability indices or degrees of freedom. In addition, it presents the main steps for evaluating such rules. This paper confirms that return tail behavior plays a crucial role in determining non-satiable investors' optimal choices.

Suggested Citation

  • Noureddine Kouaissah & Sergio Ortobelli lozza, 2020. "Multivariate Stochastic Dominance: A Parametric Approach," Economics Bulletin, AccessEcon, vol. 40(2), pages 1380-1387.
    • Handle: RePEc:ebl:ecbull:eb-20-00368
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    References listed on IDEAS

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    5. David Levhari & Jacob Paroush & Bezalel Peleg, 1975. "Efficiency Analysis for Multivariate Distributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 87-91.
    6. Kevin Fergusson & Eckhard Platen, 2006. "On the Distributional Characterization of Daily Log-Returns of a World Stock Index," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(1), pages 19-38.
    7. Sergio Ortobelli Lozza & Wing-Keung Wong & Frank J. Fabozzi & Martin Egozcue, 2018. "Diversification versus optimality: is there really a diversification puzzle?," Applied Economics, Taylor & Francis Journals, vol. 50(43), pages 4671-4693, September.
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    Cited by:

    1. Audrius Kabašinskas & Leonidas Sakalauskas & Ingrida Vaičiulytė, 2021. "An Analytical EM Algorithm for Sub-Gaussian Vectors," Mathematics, MDPI, vol. 9(9), pages 1-20, April.
    2. Kouaissah, Noureddine, 2021. "Using multivariate stochastic dominance to enhance portfolio selection and warn of financial crises," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 480-493.

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    More about this item

    Keywords

    stochastic dominance; investor preferences; elliptical distributions; financial benchmarks.;
    All these keywords.

    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

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