%0 Journal Article %T Exponential Ergodicity and ¦Â-Mixing Property for Generalized Ornstein-Uhlenbeck Processes %A Oesook Lee %J Theoretical Economics Letters %P 21-25 %@ 2162-2086 %D 2012 %I Scientific Research Publishing %R 10.4236/tel.2012.21004 %X The generalized Ornstein-Uhlenbeck process is derived from a bivariate L¨¦vy 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 ¦Â-mixing property. Our results can cover a wide variety of areas by selecting suitable L¨¦vy processes and be used as fundamental tools for statistical analysis concerning the processes. Well known stochastic volatility models in finance such as L¨¦vy-driven Ornstein-Uhlenbeck process is examined as a special case. %K ¦Â-Mixing %K Generalized Ornstein-Uhlenbeck Process %K Exponential Ergodicity %K Lé %K vy Driven Ornstein-Uhlenbeck Process %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=17351