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We consider an additive model with second order interaction terms. It is shown how the components of this model can be estimated using marginal integration, and the asymptotic distribution of the estimators is derived. Moreover, two test statistics for testing the presence of interactions are...
Persistent link: https://www.econbiz.de/10009574875
In this paper we study nonparametric estimation and hypothesis testing procedures for the functional coefficient AR (FAR) models of the form Xt = f1(Xt-d)Xt-1 +…+ fp(Xt-d)Xt-p +εt, first proposed by Chen and Tsay (1993). As a direct generalization of the linear AR model, the FAR model is a...
Persistent link: https://www.econbiz.de/10009574879
This paper provides a test of convexity of a regression function. This test is based on the least squares splines. The test statistic is shown to be asymptotically of size equal to the nominal level, while diverging to infinity if the convexity is misspecified. Therefore, the test is consistent...
Persistent link: https://www.econbiz.de/10009578019
A general model specification test of a parametric model against a nonparametric or semiparametric alternative is studied. The test statistic employs a fixed kernel, not varying by a bandwidth. This test is proved to be consistent, the asymptotic distribution is derived and shown to be...
Persistent link: https://www.econbiz.de/10009578557
In this paper a Canonical Correlation Analysis (CCA) is used to test the hypothesis r = r0 against the alternative r … < r0. Such a test flips the null and alternative hypotheses of Johansen's LR test and can be used jointly with the LR test …
Persistent link: https://www.econbiz.de/10009578561
A procedure for testing the signicance of a subset of explanatory variables in a nonparametric regression is proposed. Our test statistic uses the kernel method. Under the null hypothesis of no effect of the variables under test, we show that our test statistic has a nhp2/2 standard normal...
Persistent link: https://www.econbiz.de/10009578578