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Weighted Average Information Criterion for Selection of an Asymmetric Price Relationship

Year 2018, Volume: 2 Issue: 2, 147 - 155, 31.05.2018
https://doi.org/10.29023/alanyaakademik.343737

Abstract



TThis study evaluates the performance of the recently developed model selection criteria (WIC) against commonly used alternatives (AIC and BIC) in terms of their ability to recover the true asymmetric data generating process. Monte Carlo simulation results indicate that the performance of the model selection methods depends on the sample size, the difference in asymmetric adjustment parameters and the amount of noise in the model used in the application. WIC outperforms AIC and BIC under stable conditions such as a large sample and small noise levels. Additionally, WIC outperforms AIC and BIC as the difference between asymmetric adjustment speeds increases. These results suggest that WIC is a very reliable and useful criterion in asymmetric price transmission model selection.

References

  • Acquah, H. D. (2010). Comparison of Akaike information criterion and Consistent Akaike information criterion for model selection in Asymmetric Price Transmission Studies. Asian-African Journal of Economics and Econometrics. Vol. 9, No. 1, 49-56.
  • Acquah, H. D. (2013). On the Comparison of Akaike Information Criterion and Consistent Akaike Information Criterion in Selection of an Asymmetric Price Relationship: Bootstrap Simulation Results. AGRIS on-line Papers in Economics and Informatics, 5(1), 3.
  • AKAIKE, H. (1973). Information Theory and an Extension of the Maximum Likelihood Principle. In: B.N. Petrov and F. Csaki (eds.) 2nd International Symposium on Information Theory. 3: 267-81 Budapest: Akademiai Kiado.
  • Al-Marshadi, A. (2009) Bootstrap Simulation Procedure Applied to the Selection of Multiple Linear Regression, Journal of King Abdulaziz University: Science. Vol. 21 No 2, pp 197-212.
  • Atkinson, A. C. (1980). A note on the generalized information criterion for choice of a model. Biometrika, 67, 413-418.
  • Bozdogan, H. (1987). Model Selection and Akaike’s Information Criterion (AIC): The General Theory and Its Analytical Extensions. Psychometrika. 52(3):345-370.
  • Chen, P., Wu, T.-J., Yang, J. (2008). A comparative study of model selection criteria for the number of signals IET Radar Sonar Navig. Vol. 2, No. 3, pp. 180–188.
  • Cook, S., Holly, S., & Turner, P. (1999). The Power of tests for nonlinearity: the case of Granger–Lee asymmetry, Economics Letters, 62, pp.155–159.
  • Cramon-Taubadel, V. S., & Loy, J. P. (1996) Price Asymmetry in the International Wheat Market: Comment. Canadian Journal of Agricultural Economics, 44:311-317.
  • Granger, C. W. J., & Lee, T. H. (1989). Investigation of Production, Sales and Inventory Relationships using Multicointegration and non-symmetric Error Correction Models. Journal of Applied Econometrics, 4:135- 159.
  • Holly, S., Turner P., & Weeks, M. (2003). Asymmetric Adjustment and Bias in Estimation of an Equilibrium Relationship from a Co-integrating Regression. Computational Economics, 21:195-202.
  • Houck, J. P. (1977). An Approach to specifying and estimating nonreversible Functions. American Journal of Agricultural Economics, 59:570-572.
  • Markon, K. E., & Krueger, R. F. (2004). An Empirical Comparison of Information- Theoretic Selection Criteria for Multivariate Behavior Genetic Models. Behavior Genetics, 34, (6), pp.593- 609
  • Schwarz, G. (1978) Estimating the Dimension of a Model. Annals of Statistics, 6, pp. 461–464.
  • SEGHOUANE, A. K., & DE LATHAUWER, L. (2003, September). A bootstrap model selection criterion based on Kullback's symmetric divergence. In Statistical Signal Processing, 2003 IEEE Workshop on (pp. 494-497). IEEE
  • Tan, M. Y. J., & Biswas, R. (2012). The reliability of the Akaike information criterion method in cosmological model selection. Monthly Notices of the Royal Astronomical Society, 419(4), 3292-3303.
  • Wu, T. J., & Sepulveda, A. (1998). The weighted average information criterion for order selection in time series and regression models. Statistics & probability letters, 39(1), 1-10.

Weighted Average Information Criterion for Selection of an Asymmetric Price Relationship

Year 2018, Volume: 2 Issue: 2, 147 - 155, 31.05.2018
https://doi.org/10.29023/alanyaakademik.343737

Abstract



TThis study evaluates the performance of the recently developed model selection criteria (WIC) against commonly used alternatives (AIC and BIC) in terms of their ability to recover the true asymmetric data generating process. Monte Carlo simulation results indicate that the performance of the model selection methods depends on the sample size, the difference in asymmetric adjustment parameters and the amount of noise in the model used in the application. WIC outperforms AIC and BIC under stable conditions such as a large sample and small noise levels. Additionally, WIC outperforms AIC and BIC as the difference between asymmetric adjustment speeds increases. These results suggest that WIC is a very reliable and useful criterion in asymmetric price transmission model selection.

References

  • Acquah, H. D. (2010). Comparison of Akaike information criterion and Consistent Akaike information criterion for model selection in Asymmetric Price Transmission Studies. Asian-African Journal of Economics and Econometrics. Vol. 9, No. 1, 49-56.
  • Acquah, H. D. (2013). On the Comparison of Akaike Information Criterion and Consistent Akaike Information Criterion in Selection of an Asymmetric Price Relationship: Bootstrap Simulation Results. AGRIS on-line Papers in Economics and Informatics, 5(1), 3.
  • AKAIKE, H. (1973). Information Theory and an Extension of the Maximum Likelihood Principle. In: B.N. Petrov and F. Csaki (eds.) 2nd International Symposium on Information Theory. 3: 267-81 Budapest: Akademiai Kiado.
  • Al-Marshadi, A. (2009) Bootstrap Simulation Procedure Applied to the Selection of Multiple Linear Regression, Journal of King Abdulaziz University: Science. Vol. 21 No 2, pp 197-212.
  • Atkinson, A. C. (1980). A note on the generalized information criterion for choice of a model. Biometrika, 67, 413-418.
  • Bozdogan, H. (1987). Model Selection and Akaike’s Information Criterion (AIC): The General Theory and Its Analytical Extensions. Psychometrika. 52(3):345-370.
  • Chen, P., Wu, T.-J., Yang, J. (2008). A comparative study of model selection criteria for the number of signals IET Radar Sonar Navig. Vol. 2, No. 3, pp. 180–188.
  • Cook, S., Holly, S., & Turner, P. (1999). The Power of tests for nonlinearity: the case of Granger–Lee asymmetry, Economics Letters, 62, pp.155–159.
  • Cramon-Taubadel, V. S., & Loy, J. P. (1996) Price Asymmetry in the International Wheat Market: Comment. Canadian Journal of Agricultural Economics, 44:311-317.
  • Granger, C. W. J., & Lee, T. H. (1989). Investigation of Production, Sales and Inventory Relationships using Multicointegration and non-symmetric Error Correction Models. Journal of Applied Econometrics, 4:135- 159.
  • Holly, S., Turner P., & Weeks, M. (2003). Asymmetric Adjustment and Bias in Estimation of an Equilibrium Relationship from a Co-integrating Regression. Computational Economics, 21:195-202.
  • Houck, J. P. (1977). An Approach to specifying and estimating nonreversible Functions. American Journal of Agricultural Economics, 59:570-572.
  • Markon, K. E., & Krueger, R. F. (2004). An Empirical Comparison of Information- Theoretic Selection Criteria for Multivariate Behavior Genetic Models. Behavior Genetics, 34, (6), pp.593- 609
  • Schwarz, G. (1978) Estimating the Dimension of a Model. Annals of Statistics, 6, pp. 461–464.
  • SEGHOUANE, A. K., & DE LATHAUWER, L. (2003, September). A bootstrap model selection criterion based on Kullback's symmetric divergence. In Statistical Signal Processing, 2003 IEEE Workshop on (pp. 494-497). IEEE
  • Tan, M. Y. J., & Biswas, R. (2012). The reliability of the Akaike information criterion method in cosmological model selection. Monthly Notices of the Royal Astronomical Society, 419(4), 3292-3303.
  • Wu, T. J., & Sepulveda, A. (1998). The weighted average information criterion for order selection in time series and regression models. Statistics & probability letters, 39(1), 1-10.
There are 17 citations in total.

Details

Primary Language English
Subjects Economics
Journal Section Makaleler
Authors

Henry De-Graft Acquah

Publication Date May 31, 2018
Acceptance Date May 3, 2018
Published in Issue Year 2018 Volume: 2 Issue: 2

Cite

APA Acquah, H. D.-G. (2018). Weighted Average Information Criterion for Selection of an Asymmetric Price Relationship. Alanya Akademik Bakış, 2(2), 147-155. https://doi.org/10.29023/alanyaakademik.343737