Existence and estimates of moments for Lévy-type processes

Existence and estimates of moments for Lévy-type processes
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DOI:
10.1016/j.spa.2016.07.008
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发表时间:
2017-03
影响因子:
1.4
通讯作者:
F. Kühn
F. Kühn
中科院分区:
数学3区
文献类型:
--
作者:
F. Kühn

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本文建立了Lévy型过程矩的存在性和矩估计。我们讨论了矩的存在性是否是一个时间依赖的分布性质,给出了矩存在的充分条件,并证明了分数阶矩的估计。我们的结果特别适用于SDES和稳定的过程。
In this paper, we establish the existence of moments and moment estimates for Lévy-type processes. We discuss whether the existence of moments is a time dependent distributional property, give sufficient conditions for the existence of moments and prove estimates of fractional moments. Our results apply in particular to SDEs and stable-like processes.