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A note on convex ordering for stable stochastic integrals
Article de revue   Open Access   Avec comité de lecture

A note on convex ordering for stable stochastic integrals

Aldéric Joulin et Solym Manou-Abi
Stochastics: An International Journal of Probability and Stochastic Processes, Vol.87(4), pp.592-603
2015

Résumé

forward–backward stochastic calculus convex ordering stable stochastic integral stable process MSC (2010): 60G52, 60H05, 60E15, 60G44
We establish a convex ordering between stochastic integrals driven by strictly α-stable processes with index α ∈ (1, 2). Our approach is based on the forward-backward stochastic calculus for martingales together with a suitable decomposition of stable stochastic integrals.

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