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Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios

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  • Porter, R. Burr
  • Wart, James R.
  • Ferguson, Donald L.

Abstract

Recent theoretical and empirical work in portfolio theory has exhibited a natural evolution from the two-moment EV model popularized by Markowitz through the higher moment models to selection on the basis of the entire probability function. This latter approach, referred to as the Stochastic Dominance (SD) approach to portfolio selection, has been shown to be theoretically superior to all of the “moment methods” and has been the focus of an increasing volume of empirical work.

Suggested Citation

  • Porter, R. Burr & Wart, James R. & Ferguson, Donald L., 1973. "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 71-81, January.
    • Handle: RePEc:cup:jfinqa:v:8:y:1973:i:01:p:71-81_01
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    Cited by:

    1. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Wang, 2002. "Consistent testing for stochastic dominance: a subsampling approach," CeMMAP working papers 03/02, Institute for Fiscal Studies.
    2. Kwame Addae‐Dapaah & Wilfred Tan Yong Hwee, 2009. "The unsung impact of currency risk on the performance of international real property investment," Review of Financial Economics, John Wiley & Sons, vol. 18(1), pages 56-65, January.
    3. Malavasi, Matteo & Ortobelli Lozza, Sergio & Trück, Stefan, 2021. "Second order of stochastic dominance efficiency vs mean variance efficiency," European Journal of Operational Research, Elsevier, vol. 290(3), pages 1192-1206.
    4. Sree Vinutha Venkataraman & S. V. D. Nageswara Rao, 2023. "Stochastic dominance algorithms with application to mutual fund performance evaluation," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(1), pages 681-698, January.
    5. Al-Khazali, Osamah M., 2001. "Does the January effect exist in high-yield bond market?," Review of Financial Economics, Elsevier, vol. 10(1), pages 71-80.
    6. Zentner, Robert P. & Greene, Duty D. & Hickenbotham, Terry L. & Eidman, Vernon R., 1981. "Ordinary And Generalized Stochastic Dominance: A Primer," Staff Papers 14184, University of Minnesota, Department of Applied Economics.
    7. Osuna, Edgar Elias, 2012. "Crossing points of distributions and a theorem that relates them to second order stochastic dominance," Statistics & Probability Letters, Elsevier, vol. 82(4), pages 758-764.
    8. Addae-Dapaah, Kwame & Tan Yong Hwee, Wilfred, 2009. "The unsung impact of currency risk on the performance of international real property investment," Review of Financial Economics, Elsevier, vol. 18(1), pages 56-65, January.
    9. Timo Kuosmanen, 2004. "Efficient Diversification According to Stochastic Dominance Criteria," Management Science, INFORMS, vol. 50(10), pages 1390-1406, October.
    10. Haim Levy & Zvi Lerman, 1988. "Testing The Predictive Power Of Ex-Post Efficient Portfolios," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 11(3), pages 241-254, September.
    11. 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.
    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. Fang, Yi & Post, Thierry, 2017. "Higher-degree stochastic dominance optimality and efficiency," European Journal of Operational Research, Elsevier, vol. 261(3), pages 984-993.
    14. Pinto, Cristian F. & Acuña, Andres A., 2011. "Consistencia de la evaluación de desempeño de inversiones financieras: Pruebas de dominación estocástica versus índices media-varianza [Consistency in the evaluation of financial investment perform," MPRA Paper 31301, University Library of Munich, Germany.
    15. 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.
    16. Thierry Post & Miloš Kopa, 2017. "Portfolio Choice Based on Third-Degree Stochastic Dominance," Management Science, INFORMS, vol. 63(10), pages 3381-3392, October.
    17. Osamah M Al‐Khazali, 2001. "Does the January effect exist in high‐yield bond market?," Review of Financial Economics, John Wiley & Sons, vol. 10(1), pages 71-80, March.
    18. Selley, Roger, 1980. "Specification Of Firm Level Risk Behavior Models: Another Look At The Alternatives," Risk Analysis in Agriculture: Research and Educational Developments, January 16-18, 1980, Tucson, Arizona 271562, Regional Research Projects > W-149: An Economic Evaluation of Managing Market Risks in Agriculture.
    19. Halter, A.N. & Mason, Robert, 1978. "Utility Measurement For Those Who Need To Know," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 3(2), pages 1-12, December.
    20. Chang, Hao-Wen & Chiang, Yi-Chein & Ke, Mei-Chu & Wang, Ming-Hui & Nguyen, Tien-Trung, 2023. "Market efficiency of Asian stock markets during the financial crisis and non-financial crisis periods," International Review of Economics & Finance, Elsevier, vol. 83(C), pages 312-329.
    21. Harris, Thomas R. & Seung, Chang K. & Narayanan, Rangesan, 2001. "Targeting Economic Diversification: An Application of Target MOTAD Procedures," The Review of Regional Studies, Southern Regional Science Association, vol. 31(2), pages 197-215, Fall.
    22. Post, G.T., 2001. "Testing for Stochastic Dominance with Diversification Possibilities," ERIM Report Series Research in Management ERS-2001-38-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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