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Efficient Algorithms for Stochastic Dominance Tests Based on Financial Market Data

Author

Listed:
  • Ronny Aboudi

    (Department of Management Science, University of Miami, P.O.B. 248237, Coral Gables, Florida 33124-8237)

  • Dominique Thon

    (Bodø Graduate School of Business, P.O.B. 6003, N-8002 Bodø, Norway)

Abstract

It is known that when the random variables being compared have a uniform probability measure, as is the case when using financial market data, the computation of efficient sets for first- and second-degree dominance can be greatly simplified if majorization conditions are used instead of the dominance definitions. This paper presents an equally efficient technique for third-degree dominance.

Suggested Citation

  • Ronny Aboudi & Dominique Thon, 1994. "Efficient Algorithms for Stochastic Dominance Tests Based on Financial Market Data," Management Science, INFORMS, vol. 40(4), pages 508-515, April.
    • Handle: RePEc:inm:ormnsc:v:40:y:1994:i:4:p:508-515
    DOI: 10.1287/mnsc.40.4.508
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    Cited by:

    1. Lucey, Brian M., 2006. "Investigating the determinants of the Wednesday seasonal in Irish Equities," Research in International Business and Finance, Elsevier, vol. 20(1), pages 62-76, March.
    2. Andrey Lizyayev, 2012. "Stochastic dominance efficiency analysis of diversified portfolios: classification, comparison and refinements," Annals of Operations Research, Springer, vol. 196(1), pages 391-410, July.
    3. Maciej Nowak, 2010. "Interactive Multicriteria Decision Aiding Under Risk—Methods and Applications," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 12(1), pages 69-91, October.
    4. Raymond H. Chan & Ephraim Clark & Xu Guo & Wing-Keung Wong, 2020. "New development on the third-order stochastic dominance for risk-averse and risk-seeking investors with application in risk management," Risk Management, Palgrave Macmillan, vol. 22(2), pages 108-132, June.
    5. Bohnert, Alexander & Gatzert, Nadine & Kolb, Andreas, 2016. "Assessing inflation risk in non-life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 86-96.
    6. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology: Connections," JRFM, MDPI, vol. 11(1), pages 1-29, March.
    7. Miller-Hooks, Elise & Mahmassani, Hani, 2003. "Path comparisons for a priori and time-adaptive decisions in stochastic, time-varying networks," European Journal of Operational Research, Elsevier, vol. 146(1), pages 67-82, April.
    8. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Decision Sciences, Economics, Finance, Business, Computing, And Big Data: Connections," Advances in Decision Sciences, Asia University, Taiwan, vol. 22(1), pages 36-94, December.
    9. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2016. "Management science, economics and finance: A connection," Documentos de Trabajo del ICAE 2016-07, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    10. Chang, C-L. & McAleer, M.J. & Wong, W.-K., 2018. "Decision Sciences, Economics, Finance, Business, Computing, and Big Data: Connections," Econometric Institute Research Papers 18-024/III, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    11. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
    12. Chan, Raymond H. & Clark, Ephraim & Wong, Wing-Keung, 2016. "On the Third Order Stochastic Dominance for Risk-Averse and Risk-Seeking Investors with Analysis of their Traditional and Internet Stocks," MPRA Paper 75002, University Library of Munich, Germany.
    13. V.-P. Heikkinen & & Timo Kuosmanen, 2002. "Stochastic Dominance Portfolio Analysis of Forestry Assets," Finance 0210002, University Library of Munich, Germany.
    14. Thorlund-Petersen, Lars, 2001. "Third-degree stochastic dominance and axioms for a convex marginal utility function," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 167-199, March.
    15. Chia-Lin Chang & Michael McAleer & Wing-Keung Wong, 2018. "Big Data, Computational Science, Economics, Finance, Marketing, Management, and Psychology: Connections," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 11(1), pages 1-29, March.
    16. Graves, Samuel B. & Ringuest, Jeffrey L., 2009. "Probabilistic dominance criteria for comparing uncertain alternatives: A tutorial," Omega, Elsevier, vol. 37(2), pages 346-357, April.
    17. Liesiö, Juuso & Xu, Peng & Kuosmanen, Timo, 2020. "Portfolio diversification based on stochastic dominance under incomplete probability information," European Journal of Operational Research, Elsevier, vol. 286(2), pages 755-768.

    More about this item

    Keywords

    stochastic dominance; efficient set;

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