Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/244481 
Year of Publication: 
2013
Series/Report no.: 
Working Paper No. 7/2012
Publisher: 
Örebro University School of Business, Örebro
Abstract: 
This paper studies a special class of vector smooth-transition autoregressive (VS- TAR) models containing common nonlinear features (CNFs). To test the existence of CNFs in a VSTAR model, a triangular representation for such a system containing CNFs is proposed. A procedure of testing CNFs in a VSTAR model is consisting of two steps: first, test unit root in a STAR model against a stable STAR process for each individual time series; secondly, examine if nonlinear features are common in the system by a La- grange Multiplier (LM) test when the null of unit root is rejected in the first step. The asymptotic distribution of the LM test is derived. Simulation studies of both unit root test and LM test have been carried out to investigate the finite sample properties. In the empirical application, the procedure of testing CNFs is illustrated by analyzing the monthly growth of consumption and income data of United States (1985:1 to 2011:11). The consumption and income system contains CNFs, and an estimated common nonlin- ear factor in VSTAR model is suggested.
Subjects: 
Vector STAR models
Common features
Lagrange Multiplier test
JEL: 
C00
C12
C32
C52
Document Type: 
Working Paper

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