Abstract
A continuous time asymmetric power GARCH(1,1) model is presented and the V-uniform ergodicity and β-mixing property of the process with exponential decay rate are proved. The V-uniform ergodicity of the COGARCH(1,1) model is obtained as a special case.
Original language | English |
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Pages (from-to) | 812-817 |
Number of pages | 6 |
Journal | Statistics and Probability Letters |
Volume | 82 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2012 |
Bibliographical note
Funding Information:The author is deeply grateful to the referee and the Editor for their helpful comments and suggestions that led to the improvement of this paper. The research for this paper was supported by KRF grant 2010-0015707 and 2008-531-C00018 .
Keywords
- COGARCH(1,1) process
- Continuous time asymmetric power GARCH(1,1) process
- Uniform ergodicity