Year: 2014
Type: preprint
Abstract: We consider a random process $Y(t)=\exp\{X(t)\}$, where $X(t)$ is a centered second-order process which correlation function $R(t,s)$ can be represented as $\int_{\mathbb{R}} u(t,y)\overline{u(s,y)} dy.$ A multiplicative wavelet-based representation is found for $Y(t)$. We propose a model for simulation of the process $Y(t)$ and find its rates of convergence to the process in the spaces $C([0,T])$ and $L_p([0,T])$ for the case when $X(t)$ is a strictly sub-Gaussian process.
Source: arXiv (Cornell University)
Author: Turchyn, Ievgen
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2953303793