This paper shows how to decompose weakly stationary time series into the sum, across time scales, of uncorrelated components associated with different degrees of persistence. In particular, we provide an Extended Wold Decomposition based on an isometric scaling operator that makes averages of...

This study investigates the role of media tone on inflation expectations. Examining the relationships between news and the inflation expectations of various U.S demographic groupings, we find that traditional news influences older cohorts, while social media news align more closely with the...