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Portfolio separation properties of the skew-elliptical distributions, with generalizations

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  • Framstad, N.C.

Abstract

The two-fund separation property of the elliptical distributions is extended to the skew-elliptical case by adding a number of funds equaling the rank of the skewness matrix. The singular extended skew-elliptical distributions are covered, as is a further generalization to the case where the set conditioned upon is not an orthant.

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  • Framstad, N.C., 2011. "Portfolio separation properties of the skew-elliptical distributions, with generalizations," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1862-1866.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:12:p:1862-1866
    DOI: 10.1016/j.spl.2011.07.006
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    References listed on IDEAS

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    Cited by:

    1. Shushi, Tomer, 2018. "A proof for the existence of multivariate singular generalized skew-elliptical density functions," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 50-55.
    2. Saurabh Bansal & James S. Dyer, 2017. "Technical Note—Multivariate Partial-Expectation Results for Exact Solutions of Two-Stage Problems," Operations Research, INFORMS, vol. 65(6), pages 1526-1534, December.

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