Prof. WONG Wing-keungCheng, YushanYushanChengYue, MuMuYue2025-11-272025-11-272024Asia-Pacific Journal of Operational Research, 2024.0217-59591793-7019http://hdl.handle.net/20.500.11861/26223<jats:p> Spurious regression, commonly associated with independent and (nearly) non-stationary time series, has been extensively studied. However, the potential for spurious outcomes in regression involving stationary time series remains largely unexplored, representing a gap in the literature. To address this gap, we propose that regression of stationary time series may yield spurious outcomes and conduct a comprehensive investigation to verify this conjecture. Additionally, we present a remedy algorithm to mitigate spurious effects and improve model interpretability. Through extensive simulations, we validate our conjecture and demonstrate the efficacy of the proposed remedy. A numerical analysis further illustrates the practical utility of our approach. This study offers a fresh perspective on spurious regression and provides a practical solution to enhance the reliability of regression analyses involving stationary time series data. </jats:p>enSpurious RegressionStationarityNon-StationarityAutoregressive ModelPeer Reviewed Journal Article10.1142/S0217595924400177