Series representations for bivariate time-changed L{\'e}vy models

Vladimir Panov; Igor Sirotkin

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arXiv · 1503.02214

Series representations for bivariate time-changed L{\'e}vy models

Vladimir Panov·Igor Sirotkin

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Abstract

In this paper, we analyze a L{\'e}vy model based on two popular concepts - subordination and L{\'e}vy copulas. More precisely, we consider a two-dimensional L{\'e}vy process such that each component is a time-changed (subordinated) Brownian motion and the dependence between subordinators is described via some L{\'e}vy 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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BibTeX RIS

Vladimir Panov, Igor Sirotkin. 2015-03-07. Series representations for bivariate time-changed L{\'e}vy models. https://arxiv.org/abs/1503.02214

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