Title
Dynamics of a mean-reverting stochastic volatility equation with regime switching
Abstract
•We show the existence of global positive solution to Eq. (2) for any initial value, which extends the corresponding result in Mao et al. [10].•We gives the pth moment estimation, asymptotically bounded in pth moment and the Lyapunov exponent of the solution Xt to Eq. (2).•We present some sufficient conditions for that the process (Xt, rt) determined by Eq. (2) is positive recurrent and admits a unique ergodic asymptotically invariant distribution.
Year
DOI
Venue
2020
10.1016/j.cnsns.2019.105110
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Mean-reverting stochastic volatility equation,Global positive solution,Asymptotic boundedness in pth moment,Positive recurrence,Stationary distribution
Journal
83
ISSN
Citations 
PageRank 
1007-5704
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yanling Zhu1122.68
Kai Wang21734195.03
Yong Ren38315.29