IDEAS home Printed from https://ideas.repec.org/p/mcl/mclwop/2007-15.html
   My bibliography  Save this paper

Testing For Restricted Stochastic Dominances: Some Further Results

Author

Listed:
  • Russell Davidson

    ()

Abstract

Extensions are presented to the results of Davidson and Duclos (2007), whereby the null hypothesis of restricted stochastic non dominance can be tested by both asymptotic and bootstrap tests, the latter having considerably better properties as regards both size and power. In this paper, the methodology is extended to tests of higherorder stochastic dominance. It is seen that, unlike the first-order case, a numerical nonlinear optimisation problem has to be solved in order to construct the bootstrap DGP. Conditions are provided for a solution to exist for this problem, and efficient numerical algorithms are laid out. The empirically important case in which the samples to be compared are correlated is also treated, both for first-order and for higher-order dominance. For all of these extensions, the bootstrap algorithm is presented. Simulation experiments show that the bootstrap tests perform considerably

Suggested Citation

  • Russell Davidson, 2007. "Testing For Restricted Stochastic Dominances: Some Further Results," Departmental Working Papers 2007-15, McGill University, Department of Economics.
  • Handle: RePEc:mcl:mclwop:2007-15
    as

    Download full text from publisher

    File URL: https://home.mcgill.ca/files/economics/testingforrestricted2007.pdf
    Download Restriction: no

    Other versions of this item:

    Citations

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


    Cited by:

    1. Branko Milanovic & Mauricio Apablaza & Florent Bresson & Gaston Yalonetzky, 2016. "When More Does Not Necessarily Mean Better: Health-Related Illfare Comparisons with Non-Monotone Well-Being Relationships," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62, pages 145-178, August.
    2. George M. Constantinides & Michal Czerwonko & Stylianos Perrakis, 2017. "Mispriced Index Option Portfolios," NBER Working Papers 23708, National Bureau of Economic Research, Inc.
    3. Dirk Van de gaer & Joost Vandenbossche & José Luis Figueroa, 2014. "Children's Health Opportunities and Project Evaluation: Mexico's Oportunidades Program," World Bank Economic Review, World Bank Group, vol. 28(2), pages 282-310.
    4. Russell Davidson & Jean-Yves Duclos, 2013. "Testing for Restricted Stochastic Dominance," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 84-125, January.
    5. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    6. Stengos, Thanasis & Thompson, Brennan S., 2012. "Testing for bivariate stochastic dominance using inequality restrictions," Economics Letters, Elsevier, vol. 115(1), pages 60-62.
    7. Yélé Maweki Batana & Jean-Yves Duclos, 2010. "Comparing Multidimensional Poverty with Qualitative Indicators of Well-Being," Cahiers de recherche 1004, CIRPEE.

    More about this item

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

    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:mcl:mclwop:2007-15. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shama Rangwala). General contact details of provider: http://edirc.repec.org/data/demcgca.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.