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A Parametric Approach to Stochastic Dominance: The Lognormal Case

Author

Listed:
  • Yoram Kroll

    (School of Business Administration, The Hebrew University, Jerusalem, Israel)

  • Haim Levy

    (School of Business Administration, The Hebrew University, Jerusalem, Israel and Department of Finance and Center of Econometric Decision Science, University of Florida, Gainesville, Florida 32611)

Abstract

Mixing the risky asset with the riskless asset. Levy and Kroll have developed stochastic dominance rules with borrowing and lending (SDR). These rules can be easily applied to discrete distributions (e.g., ex-post data). However, an infinite number of comparisons is involved when the distributions under consideration are continuous. This study suggests a method for applying the SDR criteria to continuous distributions where, in general, a small number of comparisons is involved. For some distributions (e.g., lognormal) the SDR relationship is stated in terms of the distributions' parameters, and hence only one comparison is required. These SDR relationships enable us to establish the lognormal efficient frontier.

Suggested Citation

  • Yoram Kroll & Haim Levy, 1986. "A Parametric Approach to Stochastic Dominance: The Lognormal Case," Management Science, INFORMS, vol. 32(3), pages 283-288, March.
    • Handle: RePEc:inm:ormnsc:v:32:y:1986:i:3:p:283-288
    DOI: 10.1287/mnsc.32.3.283
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    Cited by:

    1. Man-Chung Ng, 2000. "A Remark on Third Degree Stochastic Dominance," Management Science, INFORMS, vol. 46(6), pages 870-873, June.

    More about this item

    Keywords

    stochastic dominance; lognormal;

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