Testing for Nonlinear Cointegration under Heteroskedasticity

Fuente: arXiv
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Autores principales: Hanck, Christoph, Massing, Till
Formato: Preprint
Publicado: 2021
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author Hanck, Christoph
Massing, Till
author_facet Hanck, Christoph
Massing, Till
contents This article discusses Shin (1994, Econometric Theory)-type tests for nonlinear cointegration in the presence of variance breaks. We build on cointegration test approaches under heteroskedasticity (Cavaliere and Taylor, 2006, Journal of Time Series Analysis) and nonlinearity, serial correlation, and endogeneity (Choi and Saikkonen, 2010, Econometric Theory) to propose a bootstrap test and prove its consistency. A Monte Carlo study shows the approach to have satisfactory finite-sample properties in a variety of scenarios. We provide an empirical application to the environmental Kuznets curves (EKC), finding that the cointegration test provides little evidence for the EKC hypothesis. Additionally, we examine a nonlinear relation between the US money demand and the interest rate, finding that our test does not reject the null of a smooth transition cointegrating relation
format Preprint
id arxiv_https___arxiv_org_abs_2102_08809
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Testing for Nonlinear Cointegration under Heteroskedasticity
Hanck, Christoph
Massing, Till
Econometrics
This article discusses Shin (1994, Econometric Theory)-type tests for nonlinear cointegration in the presence of variance breaks. We build on cointegration test approaches under heteroskedasticity (Cavaliere and Taylor, 2006, Journal of Time Series Analysis) and nonlinearity, serial correlation, and endogeneity (Choi and Saikkonen, 2010, Econometric Theory) to propose a bootstrap test and prove its consistency. A Monte Carlo study shows the approach to have satisfactory finite-sample properties in a variety of scenarios. We provide an empirical application to the environmental Kuznets curves (EKC), finding that the cointegration test provides little evidence for the EKC hypothesis. Additionally, we examine a nonlinear relation between the US money demand and the interest rate, finding that our test does not reject the null of a smooth transition cointegrating relation
title Testing for Nonlinear Cointegration under Heteroskedasticity
topic Econometrics
url https://arxiv.org/abs/2102.08809