When the hypothesis of linearity of a univariate time series model is tested using a battery of tests for neglected nonlinearity, the probability of one or more tests' leading to a false rejection increases with the number of tests being performed. This paper discusses how this undesirable...

When the hypothesis of linearity of a univariate time series model is tested using a battery of tests for neglected nonlinearity, the probability of one or more tests' leading to a false rejection increases with the number of tests being performed. This paper discusses how this undesirable...

This note illustrates that, under the null hypothesis of no cointegration, the correlation of p-values from a single-equation residual-based test (i.e. ADF, Zt, or Zx) with a system-based test (trace or maximum eigenvalue) is very low. With data generating processes under the null or 'near' it,...