1994
DOI: 10.1017/s0266466600008240
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A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration

Abstract: This paper proposes a residual-based test of the null of cointegration using a structural single equation model. It is shown that the limiting distribution of the test statistic for cointegration can be made free of nuisance parameters when the cointegrating relation is efficiently estimated. The limiting distributions are given in terms of a mixture of a Brownian bridge and vector Brownian motion. It is also shown that this test is consistent. Critical values are given for standard, demeaned, and detrended ca… Show more

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Cited by 390 publications
(409 citation statements)
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References 34 publications
(113 reference statements)
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“…Once the order of integration of the series is analyzed, we will analyze the long-run regression model [5] using the Dynamic Ordinary Least Squares (DOLS) 8 estimation method of Stock and Watson [4] following the methodology proposed by Shin [58] 9 . This approach is similar to the KPSS 10 tests, which are implemented in two stages for the case of cointegration.…”
Section: Ekc Verificationmentioning
confidence: 99%
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“…Once the order of integration of the series is analyzed, we will analyze the long-run regression model [5] using the Dynamic Ordinary Least Squares (DOLS) 8 estimation method of Stock and Watson [4] following the methodology proposed by Shin [58] 9 . This approach is similar to the KPSS 10 tests, which are implemented in two stages for the case of cointegration.…”
Section: Ekc Verificationmentioning
confidence: 99%
“…Moreover we use the statistic C µ 11 , a LM-type test designed by Shin [58], to test the null hypothesis of cointegration against the alternative of no cointegration in a DOLS regression. In Table 6 we report the estimates from the DOLS regression and the results from Shin [58] test.…”
Section: Ekc Verificationmentioning
confidence: 99%
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“…For this, we used the Shin (1994) residual based test for the null of cointegration, which is analogous to the KPSS test for univariate series. Since our interpretation of the steady state regression allows for the possibility of country specific deterministic trends and intercepts, we included these in the tests.…”
Section: Estimation and Testingmentioning
confidence: 99%
“…We use the concepts of geometric ergodicity and of linear stochastic comovement, which correspond to the linear concepts of integratedness and cointegratedness, to characterize the DGPs. We show that the stationarity test due to Kwiatkowski, Phillips, Schmidt and Shin (1992), and the cointegration test of Shin (1994) are applicable in the current context, although the Shin test has a different limiting distribution. We also propose a consistent test which has a null of linear cointegration (comovement), and an alternative of "nonlinear cointegration".…”
mentioning
confidence: 93%