IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v23y1977i5p478-489.html
   My bibliography  Save this article

Stochastic Dominance Tests for Decreasing Absolute Risk-Aversion II: General Random Variables

Author

Listed:
  • R. G. Vickson

    (University of Waterloo)

Abstract

Necessary and sufficient conditions are given for stochastic dominance over the class of decreasing absolute risk-averse utility functions. The random variables being compared may be continuous as well as discrete but are assumed to be bounded from below, to have finite means, to have only finitely many mass points in finite intervals, and to have cumulative distribution functions which cross one another only finitely many times, or touch one another only finitely many times in finite intervals. The precise forms of the dominance tests depend upon the number of times the distribution functions cross. An example of the DSD test is presented, and a dynamic programming algorithm for carrying out the general test is given.

Suggested Citation

  • R. G. Vickson, 1977. "Stochastic Dominance Tests for Decreasing Absolute Risk-Aversion II: General Random Variables," Management Science, INFORMS, vol. 23(5), pages 478-489, January.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:5:p:478-489
    DOI: 10.1287/mnsc.23.5.478
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.23.5.478
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.23.5.478?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Thierry Post & Yi Fang & Miloš Kopa, 2015. "Linear Tests for Decreasing Absolute Risk Aversion Stochastic Dominance," Management Science, INFORMS, vol. 61(7), pages 1615-1629, July.
    2. Zheng, Buhong, 2000. "Minimum Distribution-Sensitivity, Poverty Aversion, and Poverty Orderings," Journal of Economic Theory, Elsevier, vol. 95(1), pages 116-137, November.
    3. 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.
    4. Pirtea Marilen & Boţoc Claudiu, 2008. "Risk Aversion Behavior. Relationships Between Risk Aversion, Prudence And Cautiousness," Annales Universitatis Apulensis Series Oeconomica, Faculty of Sciences, "1 Decembrie 1918" University, Alba Iulia, vol. 1(10), pages 1-32.
    5. Light, Bar & Perlroth, Andres, 2021. "The Family of Alpha,[a,b] Stochastic Orders: Risk vs. Expected Value," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    6. Thierry Post & Milos Kopa, 2015. "Portfolio Choice based on Third-degree Stochastic Dominance, With an Application to Industry Momentum," Koç University-TUSIAD Economic Research Forum Working Papers 1527, Koc University-TUSIAD Economic Research Forum.
    7. Thierry Post & Miloš Kopa, 2017. "Portfolio Choice Based on Third-Degree Stochastic Dominance," Management Science, INFORMS, vol. 63(10), pages 3381-3392, October.
    8. McCamley, Francis & Kliebenstein, James B., 1986. "Necessary Conditions For Dsd Efficiency Of Mixtures Of Risky Alternatives," 1986 Annual Meeting, July 27-30, Reno, Nevada 278149, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. W. Wong & R. Chan, 2008. "Prospect and Markowitz stochastic dominance," Annals of Finance, Springer, vol. 4(1), pages 105-129, January.
    10. Andrey Lizyayev, 2010. "Stochastic Dominance Efficiency Analysis of Diversified Portfolios: Classification, Comparison and Refinements," Tinbergen Institute Discussion Papers 10-084/2, Tinbergen Institute.
    11. Cochran, Mark J., 1986. "Stochastic Dominance: The State Of The Art In Agricultural Economics," Regional Research Projects > 1986: S-180 Annual Meeting, March 23-26, 1986, Tampa, Florida 271995, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:23:y:1977:i:5:p:478-489. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.