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Testing for Stochastic Dominance Efficiency

Author

Listed:
  • Olivier Scaillet

    (HEC, University of Geneva and FAME)

  • Nikolas Topaloglou

    (HEC, University of Geneva)

Abstract

We consider consistent tests for stochastic dominance efficiency at any order of a given portfolio with respect to all possible portfolios constructed from a set of assets. We propose and justify approaches based on simulation and the block bootstrap to achieve valid inference in a time series setting. The test statistics and the estimators are computed using linear and mixed integer programming methods. The empirical application shows that the Fama and French market portfolio is FSD and SSD efficient, although it is mean-variance inefficient.

Suggested Citation

  • Olivier Scaillet & Nikolas Topaloglou, 2005. "Testing for Stochastic Dominance Efficiency," FAME Research Paper Series rp154, International Center for Financial Asset Management and Engineering.
    • Handle: RePEc:fam:rpseri:rp154
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    Keywords

    Nonparametric; Stochastic Ordering; Dominance Efficiency; Linear Programming; Mixed Integer Programming; Simulation; Bootstrap;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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