This paper introduces cointegration tests allowing for an unknown number of breaks. The introduced tests assume that the unspecified number of breaks is smaller than or equal to the maximum number of breaks set a priori. Monte Carlo simulations provide two main results. First, the proposed tests...

This paper proposes residual-based tests for cointegration with three-regime threshold autoregressive (TAR) adjustment. We propose Wald-type and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$t$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>t</mi> </math> </EquationSource> </InlineEquation>-type tests that have the null hypothesis of linear no cointegration and the alternative of cointegration with three-regime TAR adjustment...</equationsource></equationsource></inlineequation>

This paper investigates the small sample properties of a unit root test under the framework of multiple level shifts when time series variables are I(1) or I(0) processes with Markov level shifts. In order to investigate these properties, we introduce a unit root test with multiple level shifts....

This paper proposes an alternative procedure to test for cointegration in smooth transition autoregressive (STAR) models. We consider the exponential STAR (ESTAR) and double logistic STAR (D-LSTAR) models. The proposed tests are t-tests with a null hypothesis of no cointegration and an...

This paper investigates the equilibrium relationship between the nominal interest rate and inflation rate in Japan using a threshold cointegration test, which allows for asymmetric adjustment. While the Engle-Granger method assuming symmetric adjustment cannot obtain the result of cointegration,...

This paper investigates the term structure of interest rates in Japan using the unit root test in a nonlinear STAR framework. The results provide strong evidence against the unit root of the yield spread between long-term and short-term interest rates, compared with standard unit root tests...

Testing for cointegration in the presence of nonlinear adjustments or structural breaks is important for examining the equilibrium relationship among economic variables. It is known that standard cointegration tests perform poorly when a cointegration relationship has nonlinear adjustments or...

The long-run equilibrium relationship among money, income, prices, and interest rates in Japan is investigated by the threshold cointegration test, which allows for asymmetric adjustment, introduced by Enders and Siklos (2001). The threshold cointegration approach provides clear evidence of the...

Tests for a unit root using three-regime threshold autoregressive (TAR) models play a significant role in the empirical analysis of some economic theories. This article compares the powers of recently proposed unit root tests in three-regime TAR models using Monte Carlo experiments. The...

This study proposes a unit root test for a time series having a mean shift at an unknown point. The proposed test using a variance ratio as a test statistic can be used to test a wide range of linear and nonlinear processes characterized by a mean shift. Monte Carlo simulations indicate that our...