论文标题

类似运营商稳定的过程

Operator-stable-like Processes

论文作者

Scheffler, Peter, Schnurr, Alexander, Schulte, Daniel

论文摘要

在本文中,我们介绍了所谓的类似运营商稳定的过程。粗略地说,它们在当地的行为就像操作员稳定的过程一样,但是它们不必在太空中是同质的。在显示此类过程的存在之后,我们分析了最大估计值,矩的存在,样本路径的短期和长期行为和$ p $变化。此处介绍的课程包括稳定的流程作为特殊情况。

In the present paper, we introduce so-called operator-stable-like processes. Roughly speaking, they behave locally like operator-stable processes, but they need not to be homogenous in space. Having shown existence for this class of processes, we analyze maximal estimates, the existence of moments, the short- and long-time behavior of the sample paths and $p$-variation. The class introduced here includes stable-like processes as special case.

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