This paper presents a consistent GMM residuals-based test of functional form for time series models. By relating two moments we deliver a vector moment condition in which at least one element must be non-zero if the model is mis-specified. The test will never fail to detect mis-specification of...

We develop an asymptotically chi-squared statistic for testing moment conditions E[m(b0)] = 0, where m(b) may be weakly dependent, scalar components of m(b0) may have an infinite variance, and E[m(b)] need not exist for any b under the alternative. Score tests are a natural application, and in...

We present asymptotic power-one tests of regression model functional form for heavy tailed time series. Under the null hypothesis of correct specification the model errors must have a finite mean, and otherwise only need to have a fractional moment. If the errors have an infinite variance then...