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학술대회자료

Geometric ergodicity and regular variation of stochastic unit root processes

Geometric ergodicity and regular variation of stochastic unit root processes

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This paper shows that stochastic unit root [STUR] processes, which are closely related to standard (fixed) unit root models and could be easily confused with them by standard unit root tests, are geometrically ergodic and regularly varying. On the contrary to the widely held belief, therefore, STUR processes are not long-memory, but short-memory. The phenomena of volatility-induced stationarity and long-memory are also discussed under STUR.

1. Introduction

2. Geometric ergodicity and regular variation of STUR

3. Volatility-induced long-memory: an implication

4. Conclusion

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