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Testing for Stochastic Dominance Efficiency

Author

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  • Scaillet, Olivier
  • Topaloglou, Nikolas

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
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Suggested Citation

  • Scaillet, Olivier & Topaloglou, Nikolas, 2010. "Testing for Stochastic Dominance Efficiency," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 169-180.
  • Handle: RePEc:bes:jnlbes:v:28:i:1:y:2010:p:169-180
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    File URL: http://pubs.amstat.org/doi/abs/10.1198/jbes.2009.06167
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    Cited by:

    1. repec:eee:empfin:v:44:y:2017:i:c:p:250-269 is not listed on IDEAS
    2. Jesus Gonzalo & Jose Olmo, 2014. "Conditional Stochastic Dominance Tests In Dynamic Settings," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 819-838, August.
    3. Daskalaki, Charoula & Skiadopoulos, George & Topaloglou, Nikolas, 2017. "Diversification benefits of commodities: A stochastic dominance efficiency approach," Journal of Empirical Finance, Elsevier, vol. 44(C), pages 250-269.
    4. Elettra Agliardi & Mehmet Pinar & Thanasis Stengos, 2015. "An environmental degradation index based on stochastic dominance," Empirical Economics, Springer, vol. 48(1), pages 439-459, February.
    5. Mehmet Pinar & Thanasis Stengos & Nikolas Topaloglou, 2013. "Measuring human development: a stochastic dominance approach," Journal of Economic Growth, Springer, vol. 18(1), pages 69-108, March.
    6. Grönqvist, Charlotta, 2009. "Empirical studies on the private value of Finnish patents," Scientific Monographs, Bank of Finland, number 2009_041, June.
    7. Post, Thierry, 2016. "Standard Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 248(3), pages 1009-1020.
    8. Xuehu Zhu & Xu Guo & Lu Lin & Lixing Zhu, 2016. "Testing for positive expectation dependence," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 68(1), pages 135-153, February.
    9. repec:eee:econom:v:198:y:2017:i:2:p:253-270 is not listed on IDEAS
    10. Mehmet Pinar & Thanasis Stengos & M. Ege Yazgan, 2012. "Is there an Optimal Forecast Combination? A Stochastic Dominance Approach to Forecast Combination Puzzle," Working Paper series 17_12, Rimini Centre for Economic Analysis.
    11. Martin Branda & Miloš Kopa, 2012. "DEA-Risk Efficiency and Stochastic Dominance Efficiency of Stock Indices," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 62(2), pages 106-124, May.
    12. repec:eee:ejores:v:265:y:2018:i:3:p:1172-1191 is not listed on IDEAS
    13. Ibarra, Raul, 2013. "A spatial dominance approach to evaluate the performance of stocks and bonds: Does the investment horizon matter?," The Quarterly Review of Economics and Finance, Elsevier, vol. 53(4), pages 429-439.
    14. Agliardi, Elettra & Pinar, Mehmet & Stengos, Thanasis, 2014. "A sovereign risk index for the Eurozone based on stochastic dominance," Finance Research Letters, Elsevier, vol. 11(4), pages 375-384.
    15. Timothy Falcon Crack & Olivier Ledoit, 2010. "Central limit theorems when data are dependent: addressing the pedagogical gaps," IEW - Working Papers 480, Institute for Empirical Research in Economics - University of Zurich.
    16. Stelios Arvanitis & Mark Hallam & Thierry Post, 2015. "Stochastic Spanning," Koç University-TUSIAD Economic Research Forum Working Papers 1505, Koc University-TUSIAD Economic Research Forum.
      • Stelios Arvanitis & Mark Hallam & Thierry Post & Nikolas Topaloglou, 2015. "Stochastic Spanning," Working Papers 201510, Athens University Of Economics and Business, Department of Economics.
    17. Mehmet Pinar, 2015. "Measuring world governance: revisiting the institutions hypothesis," Empirical Economics, Springer, vol. 48(2), pages 747-778, March.
    18. Pagratis, Spyros & Topaloglou, Nikolas & Tsionas, Mike, 2017. "System stress testing of bank liquidity risk," Journal of International Money and Finance, Elsevier, vol. 73(PA), pages 22-40.
    19. repec:eee:ejores:v:261:y:2017:i:3:p:984-993 is not listed on IDEAS
    20. Elettra Agliardi & Mehmet Pinar & Thanasis Stengos, 2013. "A New Index of Environmental Quality Based on Greenhouse Gas Emissions," Working Paper series 12_13, Rimini Centre for Economic Analysis.
    21. Agliardi, Elettra & Agliardi, Rossella & Pinar, Mehmet & Stengos, Thanasis & Topaloglou, Nikolas, 2012. "A new country risk index for emerging markets: A stochastic dominance approach," Journal of Empirical Finance, Elsevier, vol. 19(5), pages 741-761.
    22. Miguel A. Delgado & Juan Carlos Escanciano, 2013. "Conditional Stochastic Dominance Testing," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(1), pages 16-28, January.
    23. Stelios Arvanitis, 2015. "Saddle-Type Functionals for Continuous Processes with Applications to Tests for Stochastic Spanning," Working Papers 201509, Athens University Of Economics and Business, Department of Economics.
    24. repec:eee:ejores:v:264:y:2018:i:2:p:675-685 is not listed on IDEAS

    More about this item

    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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