Elementary multivariate rearrangements and stochastic dominance on a Fréchet class
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)  and Tchen (1980) . 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) .
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- Joe, Harry, 1990. "Multivariate concordance," Journal of Multivariate Analysis, Elsevier, vol. 35(1), pages 12-30, October.
- Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
- Nicolas Gravel & Patrick Moyes, 2006.
"Ethically Robust Comparisons of Distributions of Two Individual Attributes,"
IDEP Working Papers
0605, Institut d'economie publique (IDEP), Marseille, France, revised Aug 2006.
- Patrick Moyes & Nicolas Gravel, 2010. "Ethically robust comparisons of distributions of two individual attributes," Post-Print hal-00796074, HAL.
- Patrick Moyes & Nicolas Gravel, 2007. "Ethically robust comprisons of distributions of two individual attributes," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00389601, HAL.
- Marco Scarsini & Alfred Muller, 2000.
"Some remarks on the supermodular order,"
- Marco Scarsini, 1988.
"Dominance Conditions for Multivariate Utility Functions,"
INFORMS, vol. 34(4), pages 454-460, April.
- Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Post-Print hal-00542237, HAL.
- Valentino Dardanoni & Marcello D’Agostino, 2007.
"The Measurement of Rank Mobility,"
80, ECINEQ, Society for the Study of Economic Inequality.
- repec:sae:ecolab:v:16:y:2006:i:2:p:1-2 is not listed on IDEAS
- A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 183-201.
- Margaret Meyer & Bruno Strulovici, 2011.
"Increasing Interdependence of Multivariate Distributions,"
1523, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Meyer, Margaret & Strulovici, Bruno, 2012. "Increasing interdependence of multivariate distributions," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1460-1489.
- David A. Hennessy & Harvey E. Lapan, 2003. "A Definition of 'More Systematic Risk' with Some Welfare Implications," Economica, London School of Economics and Political Science, vol. 70(279), pages 493-507, 08.
- Nikolay Nenovsky & S. Statev, 2006. "Introduction," Post-Print halshs-00260898, HAL.
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