3 papers
math.ST2019
On LSE in regression model for long-range dependent random fields on spheres
Vo Anh, Andriy Olenko, Volodymyr Vaskovych
We study the asymptotic behaviour of least squares estimators in regression models for long-range dependent random fields observed on spheres. The least squares estimator can be gi…
math.PR2018
Non-central limit theorems for functionals of random fields on hypersurfaces
Andriy Olenko, Volodymyr Vaskovych
This paper derives non-central asymptotic results for non-linear integral functionals of homogeneous isotropic Gaussian random fields defined on hypersurfaces in . We…
math.PR2017
On rate of convergence in non-central limit theorems
Vo Anh, Nikolai Leonenko, Andriy Olenko +1
The main result of this paper is the rate of convergence to Hermite-type distributions in non-central limit theorems. To the best of our knowledge, this is the first result in the…