Testing for seasonal unit roots by frequency domain regression

A-Tier
Journal: Journal of Econometrics
Year: 2014
Volume: 178
Issue: P2
Pages: 243-258

Authors (3)

Chambers, Marcus J. (not in RePEc) Ercolani, Joanne S. (not in RePEc) Taylor, A.M. Robert (University of Essex)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

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

Abstract

This paper develops univariate seasonal unit root tests based on spectral regression estimators. An advantage of the frequency domain approach is that it enables serial correlation to be treated non-parametrically. We demonstrate that our proposed statistics have pivotal limiting distributions under both the null and near seasonally integrated alternatives when we allow for weak dependence in the driving shocks. This is in contrast to the popular seasonal unit root tests of, among others, Hylleberg et al. (1990) which treat serial correlation parametrically via lag augmentation of the test regression. Our analysis allows for (possibly infinite order) moving average behaviour in the shocks. The size and power properties of our proposed frequency domain regression-based tests are explored and compared for the case of quarterly data with those of the tests of Hylleberg et al. (1990) in simulation experiments.

Technical Details

RePEc Handle
repec:eee:econom:v:178:y:2014:i:p2:p:243-258
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25