Testing for Linear Cointegration Against Smooth-Transition Cointegration

Dao Li () and Changli He ()
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Dao Li: School of Technology and Business Studies, Postal: Dalarna University, 78170 Sweden
Changli He: School of Technology and Business Studies, Postal: Dalarna University, 78170 Sweden

No 2012:6, Working Papers from Örebro University, School of Business

Abstract: This paper studies a smooth-transition (ST) type cointegration. The proposed ST cointegration allows for regime switching structure in a cointegrated system, and nests the linear cointegration developed by Engle and Granger (1987) and the threshold cointe- gration studied by Balke and Fomby (1997). Based on a class of vector ST cointegrating regression models, we develop F-type tests to examine linear cointegration against ST cointegration. The null asymptotic distributions of the tests with choosing various sta- tionary transition variables are derived. Finite-sample distributions of those tests are studied by Monto Carlo simulation. The small-sample performance of the tests are also included and it is shown that our F-type tests have a better power when the system contains a ST cointegration than that when the system is linearly cointegrated. Two empirical examples for the purchasing power parity (PPP) data are illustrated by apply- ing the testing procedures in this paper. It is found that, for each of them, there is no linear cointegration in the system, but there exits a ST cointegration in the system.

Keywords: nonlinear cointegration; smooth transition; F-type test; threshold coin- tegration (search for similar items in EconPapers)
JEL-codes: C00 C12 C32 C52 (search for similar items in EconPapers)
Pages: 55 pages
Date: 2012-02-13
New Economics Papers: this item is included in nep-ecm and nep-ets
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