A variable is defined to be self-generating if it can be forecast efficiently from its own past only. Conditions are derived for certain linear combinations to be self-generating in error correction models. Interestingly, there are only two candidates for self-generation in an error correction...

This note shows that a very simple model can generate returns that resemble most of the temporal and distributional behavior of long returns surprisingly well. The model is based on the stochastic unit root process introduced in Granger and Swanson (1997).

Possibly hitherto unnoticed cointegrating relationships among integrated components of data series are identified. If the components are cointegrated, the data are said to ahve hidden cointegration. The implication of hidden cointegration on modeling data series themselves is discussed...