A persistence‐based Wold‐type decomposition for stationary time series

B-Tier
Journal: Quantitative Economics
Year: 2020
Volume: 11
Issue: 1
Pages: 203-230

Authors (4)

Fulvio Ortu (not in RePEc) Federico Severino (not in RePEc) Andrea Tamoni (not in RePEc) Claudio Tebaldi (Università Commerciale Luigi B...)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

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 process innovations. Thanks to the uncorrelatedness of components, our representation of a time series naturally induces a persistence‐based variance decomposition of any weakly stationary process. We provide two applications to show how the tools developed in this paper can shed new light on the determinants of the variability of economic and financial time series.

Technical Details

RePEc Handle
repec:wly:quante:v:11:y:2020:i:1:p:203-230
Journal Field
General
Author Count
4
Added to Database
2026-01-29