A generalization of the endogenous threshold model is developed by extending this class to multivariate framework and to cases where the feedback acts at multiple lags. The feedback is specified, following Beaudry and Koop, by a variable which measures the depth of recessions. We give conditions...

In the empirical analysis of financial time series, multivariate GARCH models have been used in various forms. In most cases it is not well understood how the use of a restricted model has to be paid with loss of valuable information. We investigate the structural implications of two alternative...

A separation heuristic for mixed integer programs is presented that theoretically allows one to derive several families of " strong" valid inequalities for specific models and compuationally gives results as good as or better than those obtained from several existing separation routines...