Parametric and nonparametric inference for stochastic processes driven by a fractional Brownian motion were investigated in Mishura (2008) and Prakasa Rao(2010) among others. Similar problems for processes driven by an infinite dimensional fractional Brownian motion were studied in Prakasa Rao (2004,2013), Cialenco (2009) and others. Parametric estimation for processes driven by infinite dimensional mixed fractional Brownian motion is discussed in this article.
翻译:在Mishura(2008年)和Prakasa Rao(2010年)等调查了由分数型布朗运动驱动的随机过程的参数和非参数推论;在Prakasa Rao(2004年、2013年)、Cialenco(2009年)等调查了由无穷维分数型布朗运动驱动的模拟过程的类似问题;在本条中讨论了由无限维分数型布朗运动驱动的参数估计。