Title
On Feller and Strong Feller Properties and Exponential Ergodicity of Regime-Switching Jump Diffusion Processes with Countable Regimes.
Abstract
This work focuses on a class of regime-switching jump diffusion processes, in which the switching component has countably infinite many states or regimes. The existence and uniqueness of the underlying process are obtained by an interlacing procedure. Then the Feller and strong Feller properties of such processes are derived by the coupling method and an appropriate Radon Nikodym derivative. Finally the paper studies exponential ergodicity of regime-switching jump diffusion processes.
Year
DOI
Venue
2017
10.1137/16M1087837
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Keywords
Field
DocType
jump-diffusion,switching,existence,uniqueness,Feller property,strong Feller property,exponential ergodicity
Regime switching,Uniqueness,Interlacing,Ergodicity,Mathematical optimization,Coupling,Countable set,Exponential function,Mathematical analysis,Jump diffusion,Mathematics
Journal
Volume
Issue
ISSN
55
3
0363-0129
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Fu-Bao Xi1304.89
Chao Zhu232.44