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On the estimation of regime-switching Lévy models

Julien Chevallier and Stéphane Goutte ()

Studies in Nonlinear Dynamics & Econometrics, 2017, vol. 21, issue 1, 3-29

Abstract: The regime-switching Lévy model combines jump-diffusion under the form of a Lévy process, and Markov regime-switching where all parameters depend on the value of a continuous time Markov chain. We start by giving general stochastic results. Estimation is performed following a two-step procedure. The EM-algorithm is extended to this new class of jump-diffusion regime-switching models. Simulations are proposed, alongside an empirical application dedicated to the study of financial and commodity time series. When comparing the results with (i) non regime-switching models, and (ii) continuous regime-switching models (where the Lévy process is replaced by a classic Brownian motion), the Lévy regime-switching model outperforms other competitors.

Keywords: jump-diffusion; Lévy process; Markov-switching model; stochastic processes (search for similar items in EconPapers)
JEL-codes: C15 C53 Q40 G15 (search for similar items in EconPapers)
Date: 2017
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