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Title Optimal lag-length choice in stable and unstable VAR models under situations of homoscedasticity and ARCH
Author/s R. Scott Hacker, Abdulnasser Hatemi-J
Department/s Department of Statistics
Full-text Full text is not available in this archive
Alternative location (URL) http://dx.doi.org/10.1080/0266... Restricted Access (Alternative Location)
Publication/Series Journal of Applied Statistics
Publishing year 2008
Volume 35
Issue 6
Pages 601 - 615
Document type Journal article
Status published
Quality controlled yes
Language English
Publisher Routledge
Abstract English The performance of different information criteria - namely Akaike, corrected Akaike (AICC), Schwarz Bayesian (SBC), and Hannan-Quinn - is investigated so as to choose the optimal lag length in stable and unstable vector autoregressive (VAR) models both when autoregressive conditional heteroscedasticity (ARCH) is present and when it is not. The investigation covers both large and small sample sizes. The Monte Carlo simulation results show that SBC has relatively better performance in lag-choice accuracy in many situations. It is also generally the least sensitive to ARCH regardless of stability or instability of the VAR model, especially in large sample sizes. These appealing properties of SBC make it the optimal criterion for choosing lag length in many situations, especially in the case of financial data, which are usually characterized by occasional periods of high volatility. SBC also has the best forecasting abilities in the majority of situations in which we vary sample size, stability, variance structure (ARCH or not), and forecast horizon (one period or five). frequently, AICC also has good lag-choosing and forecasting properties. However, when ARCH is present, the five-period forecast performance of all criteria in all situations worsens.
Subject Mathematics and Statistics
Keywords stability, ARCH, Monte Carlo simulations, information criteria, VAR, lag length
ISBN/ISSN/Other ISSN: 0266-4763

 

 

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