Testing Weak Exogeneity in Cointegrated System
This paper develops a limiting theory for Wald tests of weak exogeneity in error correction models (ECMs). It is well known that Wald statistics on cointegrated systems may involve nonstandard distribution and nuisance parameters, if $I(1)$ variables are not negligible in the statistics. To overcome this problem we construct a new statistic that takes only the $I(0)$ components of a Wald statistic into account and thus results in a valid $\chi^2$ criterion. Applying this procedure to test weak exogeneity in ECMs we obtain a simple and direct $\chi^2$ test
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- Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-399, October.
- Johansen, S., 1991.
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- Johansen, Soren, 1992. "Testing weak exogeneity and the order of cointegration in UK money demand data," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 313-334, June.
- Toda, Hiro Y & Phillips, Peter C B, 1993.
"Vector Autoregressions and Causality,"
Econometric Society, vol. 61(6), pages 1367-1393, November.
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