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We consider a random process $Y(t)=\exp\{X(t)\}$, where $X(t)$ is a centeredsecond-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-basedrepresentation is found for $Y(t)$. We propose a model for simulation of theprocess $Y(t)$ 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-Gaussianprocess.

A Multiplicative Wavelet-based Model for Simulation of a Random Process