Spurious relationships for nearly non-stationary series

Artikel

Literature shows that the regression of independent and (nearly) nonstationary time series could result in spurious outcomes. In this paper, we conjecture that under some situations, the regression of two independent and nearly non-stationary series does not have any spurious problem at all. To check whether our conjecture holds, we set up several situations and conduct simulations to justify our conjecture. Our simulations show that under some situations, the chance that the regressions being spurious is very high for all the cases simulated in our paper. Nonetheless, under some other situations, our simulation shows that the rejection rates are much smaller than the 5% level of significance for all the cases simulated in our paper, implying that our conjecture could hold under some situations that regression of two independent and nearly non-stationary series does not have any spurious problem at all.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Journal of Risk and Financial Management ; ISSN: 1911-8074 ; Volume: 14 ; Year: 2021 ; Issue: 8 ; Pages: 1-24 ; Basel: MDPI

Classification and Topics

• Classification: Wirtschaft ; Econometrics ; Statistical Simulation Methods: General ; Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes ; Financial Econometrics ; Mathematical Methods; Programming Models; Mathematical and Simulation Modeling: General
• Subject: cointegration ; nearly non-stationarity ; non-stationarity ; spurious problem ; stationarity

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Cheng, Yushan ; Hui, Yongchang ; McAleer, Michael ; Wong, Wing Keung
• Event: Veröffentlichung
• (who): MDPI
• (where): Basel
• (when): 2021

Further information

• DOI: doi:10.3390/jrfm14080366
• Handle: http://hdl.handle.net/10419/258470
• Last update: 10.03.2025, 11:43 AM CET