Convex ordering for random vectors using predictable representation

نویسندگان

  • Marc Arnaudon
  • Jean-Christophe Breton
  • Nicolas Privault
چکیده

We prove convex ordering results for random vectors admitting a predictable representation in terms of a Brownian motion and a non-necessarily independent jump component. Our method uses forward-backward stochastic calculus and extends the results proved in [4] in the one-dimensional case. We also study a geometric interpretation of convex ordering for discrete measures in connection with the conditions set on the jump heights and intensities of the considered processes.

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تاریخ انتشار 2008