稳定随机积分的凸排序问题

Pub Date : 2015-04-10 DOI:10.1080/17442508.2014.989528
A. Joulin, Solym Mawaki Manou-Abi
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引用次数: 0

摘要

建立了指标α∈(1,2)的严格α-稳定过程驱动的随机积分之间的凸序。我们的方法是基于正反向鞅的随机微积分以及稳定随机积分的适当分解。
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A note on convex ordering for stable stochastic integrals
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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