A separation theorem for the weak s-convex orders

Denuit, Michel;Liu, Liqun;Meyer, Jack
(2014) Insurance: Mathematics and Economics — Vol. 59, p. 279-284 (2014)

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Abstract
The present paper extends to higher degrees the well-known separation theorem decomposing a shift in the increasing convex order into a combination of a shift in the usual stochastic order followed by another shift in the convex order. An application in decision making under risk is provided to illustrate the interest of the result.
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Denuit, M., Liu, L., & Meyer, J. (2014). A separation theorem for the weak s-convex orders. Insurance: Mathematics and Economics, 59, 279-284. https://doi.org/10.1016/j.insmatheco.2014.10.008 (Original work published 2014)