Abstract
A seasonal GARCH process with periodic coefficients is considered and conditions for periodic stationarity, geometric ergodicity, -mixing property with exponential decay rate, and existence of higher-order moments are obtained.
Original language | English |
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Pages (from-to) | 38-51 |
Number of pages | 14 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 39 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2010 |
Keywords
- Geometric ergodicity
- Higher-order moments
- Mixing
- Periodic coefficient
- Seasonal GARCH (p, q) process
- Stationarity
- Uniform countable additivity condition