Theoretical Economics Letters

Volume 2, Issue 1 (February 2012)

ISSN Print: 2162-2078   ISSN Online: 2162-2086

Google-based Impact Factor: 1.34  Citations  

Exponential Ergodicity and β-Mixing Property for Generalized Ornstein-Uhlenbeck Processes

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DOI: 10.4236/tel.2012.21004    5,689 Downloads   10,064 Views  Citations
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ABSTRACT

The generalized Ornstein-Uhlenbeck process is derived from a bivariate Lévy process and is suggested as a continuous time version of a stochastic recurrence equation [1]. In this paper we consider the generalized Ornstein-Uhlenbeck process and provide sufficient conditions under which the process is exponentially ergodic and hence holds the expo-nentially β-mixing property. Our results can cover a wide variety of areas by selecting suitable Lévy processes and be used as fundamental tools for statistical analysis concerning the processes. Well known stochastic volatility models in finance such as Lévy-driven Ornstein-Uhlenbeck process is examined as a special case.

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Lee, O. (2012) Exponential Ergodicity and β-Mixing Property for Generalized Ornstein-Uhlenbeck Processes. Theoretical Economics Letters, 2, 21-25. doi: 10.4236/tel.2012.21004.

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