Testing for a unit root in a nonlinear quantile autoregression framework
- Authors
- Li, Haiqi; Park, Sung-yong
- Issue Date
- Sep-2018
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Nonlinear quantile autoregression; quantile Cramer-von Mises test; quantile Kolmogorov-Smirnov test; quantile t-ratio test
- Citation
- ECONOMETRIC REVIEWS, v.37, no.8, pp 867 - 892
- Pages
- 26
- Journal Title
- ECONOMETRIC REVIEWS
- Volume
- 37
- Number
- 8
- Start Page
- 867
- End Page
- 892
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/1577
- DOI
- 10.1080/00927872.2016.1178871
- ISSN
- 0747-4938
1532-4168
- Abstract
- The nonlinear unit root test of Kapetanios, Shin, and Snell (2003) (KSS) has attracted much recent attention. However, the KSS test relies on the ordinary least squares (OLS) estimator, which is not robust to a heavy-tailed distribution and, in practice, the test suffers from a large power loss. This study develops three kinds of quantile nonlinear unit root tests: the quantile t-ratio test; the quantile Kolmogorov-Smirnov test; and the quantile Cramer-von Mises test. A Monte Carlo simulation shows that these tests have significantly better power when an innovation follows a non-normal distribution. In addition, the quantile t-ratio test can reveal the heterogeneity of the asymmetric dynamics in a time series. In our empirical studies, we investigate the unit root properties of U.S. macroeconomic time series and the real effective exchange rates for 61 countries. The results show that our proposed tests reject the unit roots more often, indicating that the series are likely to be asymmetric nonlinear reverting processes.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Business & Economics > School of Economics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.