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 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 compare...Expand abstract
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