Finding Starting-Values for the Estimation of Vector STAR Models

This paper focuses on finding starting-values for the estimation of Vector STAR models. Based on a Monte Carlo study, different procedures are evaluated. Their performance is assessed with respect to model fit and computational effort. I employ (i) grid search algorithms and (ii) heuristic optimizat...

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Main Author: Frauke Schleer
Format: Article
Language:English
Published: MDPI AG 2015-01-01
Series:Econometrics
Subjects:
Online Access:http://www.mdpi.com/2225-1146/3/1/65
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author Frauke Schleer
author_facet Frauke Schleer
author_sort Frauke Schleer
collection DOAJ
description This paper focuses on finding starting-values for the estimation of Vector STAR models. Based on a Monte Carlo study, different procedures are evaluated. Their performance is assessed with respect to 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 Vector STAR models with a slight edge for heuristic methods. For more complex Vector STAR models which require a multivariate search approach, simulated annealing and differential evolution outperform threshold accepting and the grid search.
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spelling doaj.art-94078bc2a5aa47b089cba1524b03bd212022-12-22T04:19:55ZengMDPI AGEconometrics2225-11462015-01-0131659010.3390/econometrics3010065econometrics3010065Finding Starting-Values for the Estimation of Vector STAR ModelsFrauke Schleer0Centre for European Economic Research (ZEW), P.O. Box 103443, Mannheim D-68034, GermanyThis paper focuses on finding starting-values for the estimation of Vector STAR models. Based on a Monte Carlo study, different procedures are evaluated. Their performance is assessed with respect to 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 Vector STAR models with a slight edge for heuristic methods. For more complex Vector STAR models which require a multivariate search approach, simulated annealing and differential evolution outperform threshold accepting and the grid search.http://www.mdpi.com/2225-1146/3/1/65Vector STAR modelstarting-valuesoptimization heuristicsgrid searchestimationnon-linearieties
spellingShingle Frauke Schleer
Finding Starting-Values for the Estimation of Vector STAR Models
Econometrics
Vector STAR model
starting-values
optimization heuristics
grid search
estimation
non-linearieties
title Finding Starting-Values for the Estimation of Vector STAR Models
title_full Finding Starting-Values for the Estimation of Vector STAR Models
title_fullStr Finding Starting-Values for the Estimation of Vector STAR Models
title_full_unstemmed Finding Starting-Values for the Estimation of Vector STAR Models
title_short Finding Starting-Values for the Estimation of Vector STAR Models
title_sort finding starting values for the estimation of vector star models
topic Vector STAR model
starting-values
optimization heuristics
grid search
estimation
non-linearieties
url http://www.mdpi.com/2225-1146/3/1/65
work_keys_str_mv AT fraukeschleer findingstartingvaluesfortheestimationofvectorstarmodels