Series representations for bivariate time-changed L\'evy models
Abstract
In this paper, we analyze a L\'evy model based on two popular concepts - subordination and L\'evy copulas. More precisely, we consider a two-dimensional L\'evy process such that each component is a time-changed (subordinated) Brownian motion and the dependence between subordinators is described via some L\'evy copula. We prove a series representation for our model, which can be efficiently used for simulation purposes, and provide some practical examples based on real data
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