Quasi-likelihood ratio tests for cointegration, cobreaking, and cotrending

We consider a set of variables with two types of non-stationary features, stochastic trends and broken linear trends. We develop tests that can determine whether there is a linear combination of these variables under which the non-stationary features can be canceled out. The first test can determine...

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Bibliographic Details
Authors: Carrión i Silvestre, Josep Lluís, Kim, Dukpa
Format: article
Status:Versión aceptada para publicación
Publication Date:2019
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/135559
Online Access:https://hdl.handle.net/2445/135559
Access Level:Open access
Keyword:Integració econòmica
Programació lineal
Anàlisi estocàstica
Mètode de Montecarlo
Economic integration
Linear programming
Analyse stochastique
Monte Carlo method
Description
Summary:We consider a set of variables with two types of non-stationary features, stochastic trends and broken linear trends. We develop tests that can determine whether there is a linear combination of these variables under which the non-stationary features can be canceled out. The first test can determine whether stochastic trends can be eliminated and thus whether cointegration holds, regardless of whether structural breaks in linear trends are eliminated. The second test can determine whether both stochastic trends and breaks in linear trends are simultaneously removed and thus whether cointegration and cobreaking simultaneously hold. The third test can determine whether not only breaks in linear trends but also linear trends themselves are eliminated along with stochastic trends and thus whether both cointegration and cotrending hold.