This paper, exploiting the properties of mixed causal and noncausal models, proposes strategies to detect time reversibility in stochastic processes. These novel strategies can be implemented to verify the time reversibility of stationary stochastic processes. We show that they can also be used...

This paper focuses on testing non-stationary real-time data for forecastability, i.e., whether data revisions reduce noise or are news, by putting data releases in vector-error correction forms. To deal with historical revisions which affect the whole vintage of time series due to redefinitions,...

This paper proposes strategies to detect time reversibility in stationary stochastic processes by using the properties of mixed causal and noncausal models. It shows that they can also be used for non-stationary processes when the trend component is computed with the Hodrick-Prescott filter...