论文标题

两因素仿射过程

Coupling methods and exponential ergodicity for two-factor affine processes

论文作者

Bao, Jianhai, Wang, Jian

论文摘要

在本文中,通过调用耦合方法,我们在$ l^1 $ -wasserstein距离下建立了指数性的千古性。本文所采用的方法在某些意义上是通用的,因此它适用于一般的两因素仿射过程,该过程允许第一个组件求解一般的CIR过程,并且第二个组件中存在相互作用,并且Brownian声音相关;甚至是两因素过程之外的某些模型。

In this paper, by invoking the coupling approach, we establish exponential ergodicity under the $L^1 $-Wasserstein distance for two-factor affine processes. The method employed herein is universal in a certain sense so that it is applicable to general two-factor affine processes, which allow that the first component solves a general CIR process, and that there are interactions in the second component, as well as that the Brownian noises are correlated; and even to some models beyond two-factor processes.

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