期刊名称:Latin American Journal of Probability and Mathematical Statistics
电子版ISSN:1980-0436
出版年度:2014
卷号:XI
页码:359-384
出版社:Instituto Nacional De Matemática Pura E Aplicada
摘要:This paper is the second part of our study started with Cattiaux et al.(2014). For some ergodic hamiltonian systems we obtained a central limit theoremfor a non-parametric estimator of the invariant density, under partial observation(only the positions are observed). Here we obtain similarly a central limit theoremfor a non-parametric estimator of the drift term. This theorem relies on the previousresult for the invariant density.
关键词:Hypoelliptic diffusion; Nonparametric drift estimation; Partial obser-;vations; High frequency estimation.