This note investigates the spurious regression where each of the regressand and the regressor follows a random walk with zero, nonzero local, or nonzero constant drift. In the existing literature of spurious regression, both the regressand and regressor have zero or constant drifts. We consider...

We propose a new time series model where the threshold is specified as an empirical quantile of recent observations of a threshold variable. The resulting conditional threshold traces the fluctuation of the threshold variable, which can enhance the fit and interpretation of the model. In the...

We propose Midastar models by combining the Mixed Data Sampling (MIDAS) and the threshold autoregression (TAR). The Midastar model of the first kind is designed for a low frequency target variable and a high frequency threshold variable. The proposed model can detect threshold effects...