Abstract

Cyclical asymmetry has been recognised as a non-linear phenomenon in recent studies examining unemployment rate time series. The probalistic structure of such time series is different during upswings and downswings and models should reflect this change in structure by incorporating non-linearities to allow for the switching in optimising behaviours between the different phases. In this paper we use a number of established and new tests for identifying nonlinearities of different types as they occur in first-differenced time series of the seasonally-adjusted monthly Australian aggregate and regional unemployment rates. After identifying whether nonlinearity of a particular form is present in a given time series, the appropriate non-linear or linear model is fitted and the model analysed for cyclical behaviour.

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