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Semi-nonparametric test of second degree stochastic dominance with respect to a function

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  • Schumann, Keith D.

Abstract

In an expected utility framework, assuming a decision maker operates under utility k([dot operator][theta]), for two risky alternatives X and Y with respective distribution functions F and G, alternative X is said to dominate alternative Y with respect to k([dot operator][theta]) if for all y. Utilizing the empirical distribution functions of F and G, a statistical test is presented to test the null hypothesis of indifference between X and Y given k([dot operator][theta]) against the hypothesis that X dominates Y with respect to k([dot operator][theta]). This is a large sample testing application of stochastic dominance with respect to a function. The asymptotic distribution of the test statistic associated with the null hypothesis given a sub-set of the utility function parameter space is developed. Based on large sample rejection regions, the hypothesis of preference of one alternative over another is demonstrated with an empirical example.

Suggested Citation

  • Schumann, Keith D., 2011. "Semi-nonparametric test of second degree stochastic dominance with respect to a function," Journal of Econometrics, Elsevier, vol. 162(1), pages 71-78, May.
  • Handle: RePEc:eee:econom:v:162:y:2011:i:1:p:71-78
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    References listed on IDEAS

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    1. Liu, Yangxuan & Langemeier, Michael & Small, Ian & Joseph, Laura & Fry, William, 2015. "Risk management strategies using potato precision farming technology," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205417, Agricultural and Applied Economics Association;Western Agricultural Economics Association.

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