The relationship between the Beveridge-Nelson decomposition and other permanent-transitory decompositions that are popular in economics

A-Tier
Journal: Journal of Econometrics
Year: 2008
Volume: 146
Issue: 2
Pages: 207-219

Authors (3)

Oh, Kum Hwa (not in RePEc) Zivot, Eric (not in RePEc) Creal, Drew (University of Illinois at Urba...)

Score contribution per author:

1.345 = (α=2.02 / 3 authors) × 2.0x A-tier

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

Abstract

The Beveridge-Nelson (BN) decomposition is a model-based method for decomposing time series into permanent and transitory components. When constructed from an ARIMA model, it is closely related to decompositions based on unobserved components (UC) models with random walk trends and covariance stationary cycles. The decomposition when extended to I(2) models can also be related to non-model-based signal extraction filters such as the HP filter. We show that the BN decomposition provides information on the correlation between the permanent and transitory shocks in a certain class of UC models. The correlation between components is known to determine the smoothed estimates of components from UC models. The BN decomposition can also be used to evaluate the efficacy of alternative methods. We also demonstrate, contrary to popular belief, that the BN decomposition can produce smooth cycles if the reduced form forecasting model is appropriately specified.

Technical Details

RePEc Handle
repec:eee:econom:v:146:y:2008:i:2:p:207-219
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25