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Elementary multivariate rearrangements and stochastic dominance on a Fréchet class

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  • DECANCQ, Koen

Abstract

A Fréchet class collects all multivariate joint distribution functions that have the same marginals. Members of a Fréchet class only differ with respect to the interdependence between their marginals. In this paper, I study orders of interdependence on a Fréchet class using two multivariate generalizations of the bivariate rearrangement proposed by Epstein and Tanny (1980) [4] and Tchen (1980) [16]. I show how these multivariate rearrangements are underlying multivariate first order stochastic dominance in terms of the joint distribution function and the survival function. A combination of both rearrangements is shown to be equivalent to the concordance order proposed by Joe (1990) [9].
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Suggested Citation

  • DECANCQ, Koen, 2012. "Elementary multivariate rearrangements and stochastic dominance on a Fréchet class," LIDAM Reprints CORE 2425, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2425
    DOI: 10.1016/j.jet.2011.11.001
    Note: In : Journal of Economic Theory, 147(4), 1450-1459, 2012
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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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