COGARCH processes are Lévy driven continuous time version of well known GARCH models for modeling high-fequency financial returns. We firstly discuss the properties about Lévy processes such as symmetric and asymmetric COGARCH models. These results are prerequisites to draw statistical inference from irregularly spaced observations. In particular, we focus on the pseudo-maximum likelihood method in order to extend some asymptotic results to the asymmetric model.

(2014). COGARCH processes: theory and asymptotics for the pseudo-maximum likelihood estimator. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2014).

COGARCH processes: theory and asymptotics for the pseudo-maximum likelihood estimator

IANNACE, MAURO
2014

Abstract

COGARCH processes are Lévy driven continuous time version of well known GARCH models for modeling high-fequency financial returns. We firstly discuss the properties about Lévy processes such as symmetric and asymmetric COGARCH models. These results are prerequisites to draw statistical inference from irregularly spaced observations. In particular, we focus on the pseudo-maximum likelihood method in order to extend some asymptotic results to the asymmetric model.
NEGRI, ILIA
consistency, COGARCH, GJR-COGARCH, leverage effect, Lévy process, pseudo-maximum likelihood, stochastic volatility, stochastic integral, variance gamma process
MAT/06 - PROBABILITA E STATISTICA MATEMATICA
English
12-dic-2014
Scuola di Dottorato in Statistica e Matematica Applicata alla Finanza
STATISTICA ED APPLICAZIONI - 62R
27
2013/2014
open
(2014). COGARCH processes: theory and asymptotics for the pseudo-maximum likelihood estimator. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2014).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/55528
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