论文标题

多维分数随机波动率模型的不变措施

Invariant measures for multidimensional fractional stochastic volatility models

论文作者

Gerencsér, Balázs, Rásonyi, Miklós

论文摘要

对于一类(可能是非马克维亚)随机波动率模型,我们将收敛到不变的度量趋于无穷大。我们的论点是基于马尔可夫链的一种新颖的耦合构想,该想法也以有效的方式扩展到马尔可夫链中。

We establish convergence to an invariant measure as time tends to infinity, for a large class of (possibly non-Markovian) stochastic volatility models. Our arguments are based on a novel coupling idea for Markov chains which also extends to Markov chains in random environments in an efficient way.

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