This paper focuses on finding starting-values for maximum likelihood estimation of Vector STAR models. Based on a Monte Carlo exercise, different procedures are evaluated. Their performance is assessed w.r.t. model fit and computational effort. I employ i) grid search algorithms, and ii) heuristic optimization procedures, namely, differential evolution, threshold accepting, and simulated annealing. In the equation-by-equation starting-value search approach the procedures achieve equally good results. Unless the errors are cross-correlated, equation-by-equation search followed by a derivative-based algorithm can handle such an optimization problem sufficiently well. This result holds also for higher-dimensional VSTAR models with a slight edge for the heuristic methods. Being faced with more complex Vector STAR models for which a multivariate search approach is required, simulated annealing and differential evolution outperform threshold accepting and the grid with a zoom.

Schleer, Frauke (2013), Finding Starting-Values for Maximum Likelihood Estimation of Vector STAR Models, ZEW Discussion Paper No. 13-076, Mannheim, published in: Econometrics 2015, 3(1), 65-90. Download

Keywords

Vector STAR model, starting-values, optimization heuristics, grid search, estimation, non-linearieties