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Testing For Restricted Stochastic Dominances: Some Further Results

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  • Russell Davidson

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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

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Bibliographic Info

Paper provided by McGill University, Department of Economics in its series Departmental Working Papers with number 2007-15.

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Length: 27 pages
Date of creation: Apr 2007
Date of revision:
Handle: RePEc:mcl:mclwop:2007-15

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Cited by:
  1. Thanasis Stengos & Brennan S. Thompson, 2011. "Testing for Bivariate Stochastic Dominance Using Inequality Restrictions," Working Paper Series 32_11, The Rimini Centre for Economic Analysis.
  2. Van de gaer, Dirk & Vandenbossche, Joost & Figueroa, Jose Luis, 2013. "Children's health opportunities and project evaluation : Mexico's Oportunidades program," Policy Research Working Paper Series 6345, The World Bank.
  3. Yélé Maweki Batana & Jean-Yves Duclos, 2010. "Comparing Multidimensional Poverty with Qualitative Indicators of Well-Being," Cahiers de recherche 1004, CIRPEE.

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