Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly popular given their flexibility in modelling stylized features of financial series such as asymmetry, heavy tails and jumps. The use of non-Gaussian marginal distributions makes likelihood analysis of these processes unfeasible for virtually all cases of interest. This paper exploits the self-decomposability of the marginal laws of OU processes to provide explicit expressions of the characteristic function which can be applied to several models as well as to develop efficient estimation techniques based on the empirical characteristic function. Extensions to OU-based stochastic volatility models are provided.

Characteristic Function Estimation of Non-Gaussian Ornstein-Uhlenbeck Processes / Taufer, Emanuele. - ELETTRONICO. - (2008), pp. 1-20.

Characteristic Function Estimation of Non-Gaussian Ornstein-Uhlenbeck Processes

Taufer, Emanuele
2008-01-01

Abstract

Continuous non-Gaussian stationary processes of the OU-type are becoming increasingly popular given their flexibility in modelling stylized features of financial series such as asymmetry, heavy tails and jumps. The use of non-Gaussian marginal distributions makes likelihood analysis of these processes unfeasible for virtually all cases of interest. This paper exploits the self-decomposability of the marginal laws of OU processes to provide explicit expressions of the characteristic function which can be applied to several models as well as to develop efficient estimation techniques based on the empirical characteristic function. Extensions to OU-based stochastic volatility models are provided.
2008
Trento
University of Trento - Dipartimento di Informatica e Studi Aziendali
Characteristic Function Estimation of Non-Gaussian Ornstein-Uhlenbeck Processes / Taufer, Emanuele. - ELETTRONICO. - (2008), pp. 1-20.
Taufer, Emanuele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/358946
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