Convex ordering for random vectors using predictable representation

Details Convex ordering for random vectors using predictable representation Convex ordering for random vectors using predictable representation

2008-01-30

arxiv.org/abs/0801.4621v1

Mathematics

Probability

Scientific paper

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 previous results 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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