Many modelling issues and policy debates in macroeconomics depend on whether macroeconomic times series are best characterized as linear or nonlinear. If departures from linearity exist, it is important to know whether these are endogenously generated (as in, e.g., a threshold autoregressive...

Many modelling issues and policy debates in macroeconomics depend on whether macroeconomic time series are best characterized as linear or nonlinear. If departures from linearity exist, it is important to know whether these are endogenously generated (as in, e.g. a threshold autoregressive...

We consider several variants of a likelihood-ratio process for quantile regression designed to test composite hypotheses about the combined influence of several covariates over an entire range of conditional quantile functions. A closely related process is proposed as a goodness-of-fit criterion...