Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/244480 
Year of Publication: 
2013
Series/Report no.: 
Working Paper No. 6/2012
Publisher: 
Örebro University School of Business, Örebro
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.
Subjects: 
nonlinear cointegration
smooth transition
F-type test
threshold coin- tegration
JEL: 
C00
C12
C32
C52
Document Type: 
Working Paper

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