A low-dimension portmanteau test for non-linearity
A new test for non-linearity in the conditional mean is proposed using functions of the principal components of regressors. The test extends the non-linearity tests based on KolmogorovGabor polynomials (Thursby and Schmidt, 1977; Tsay, 1986; Tersvirta et al., 1993), but circumvents problems of high...
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| Format: | Journal article |
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Elsevier
2010
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| Summary: | A new test for non-linearity in the conditional mean is proposed using functions of the principal components of regressors. The test extends the non-linearity tests based on KolmogorovGabor polynomials (Thursby and Schmidt, 1977; Tsay, 1986; Tersvirta et al., 1993), but circumvents problems of high dimensionality, is equivariant to collinearity, and includes exponential functions, so is a portmanteau test with power against a wide range of possible alternatives. A Monte Carlo analysis compares the performance of the test to the optimal infeasible test and to alternative tests. The relative performance of the test is encouraging: the test has the appropriate size and has high power in many situations. |
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