This paper examines types of cointegration for bivariate seasonal time series, namely seasonal cointegration, periodic cointegration and nonperiodic cointegration. The admissable form(s) for any cointegration is shown to depend crucially on the univariate unit root properties of the series. When both processes are (conventionally) integrated, only nonperiodic cointegration is possible. Periodic...

This paper examines stationarity and cointegration of health expenditure and GDP, for a sample of 21 OECD countries using data for the period 1960-1997, by applying a test battery that allows robust inference to be made on the stationarity and cointegration issue. Trend stationarity and no-cointegration are tested using new country-by-country and panel tests, not previously applied in this sett...

In this paper, we study a smooth-transition type of nonlinear cointegration among a dynamic system, in which the proposed definition nests Engle and Granger (1987)’s linear cointegration. Based on the Smooth Transition Autoregressive (STAR) models, a triangular representation for the nonlinearly cointegrated system is introduced. Furthermore, two tests for nonlinear cointegration are derived in...

Cointegration is an important topic for timeseries, and describes a relationship between two series in which a linear combination is stationary. Classically, the test for cointegration is based on a two stage process in which first the linear relation between the series is estimated by Ordinary Least Squares. Subsequently a unit root test is performed on the residuals. A well-known deficiency o...

We consider cointegration tests in the situation where the cointegration rank is deficient. This situation is of interest in finite sample analysis and in relation to recent work on identification robust cointegration inference. We derive asymptotic theory for tests for cointegration rank and for hypotheses on the cointegrating vectors. The limiting distributions are tabulated. An application t...

This paper fist examines three set of bivariate cointegrations between any two of current accounts, stock markets, and currency exchange markets in ten Asian countries. Furthermore, we examined the effect of country characters on this bivariate cointegration. Our findings suggest that for three sets of cointegration test, each sample country at least exists one cointegration. India consistently...

In this thesis, we study a smooth-transition type of nonlinear cointegration among a dynamic system. Base on the Logistic Smooth Transition Autoregressive (LSTAR) models, the definition of cointegration which is extended form Engle and Granger (1987)’s definition of linear cointegration is introduced. Then statistical test for linear cointegration against nonlinear cointegration is derived. The...

In recent research, Leybourne and Newbold (2003) have shown commonly employed tests of cointegration to exhibit spurious rejection when applied to independent unit root processes subject to breaks in either level or trend. In the present paper, this research is extended to consider the finite-sample properties of cointegration tests which explicitly incorporate structural change. It is shown th...

This paper applies conventional tests (Johansen, 1995) and new tests (Chao and Phillips,1999) for cointegration to long{run money demand functions using Canadian data from 1872 to 1997. If cointegration is found, recently proposed tests by Quintos (1997) for stability of the cointegration rank are carried out. The paper focuses on two spans of data: one span starting in 1872, the other in 1957 ...

We propose a new method to determine the cointegration rank in the error correction model of Engle and Granger (1987). To this end, we first estimate the cointegration vectors in terms of a residual-based principal component analysis. Then the cointegration rank, together with the lag order, is determined by a penalized goodness-of-fit measure. We have shown that the estimated cointegration vec...