[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/55902.html
   My bibliography  Save this paper

Bayesian Averaging of Classical Estimates in Asymmetric Vector Autoregressive (AVAR) Models

Author

Listed:
  • Albis, Manuel Leonard F.
  • Mapa, Dennis S.
Abstract
The estimated Vector AutoRegressive (VAR) model is sensitive to model misspecifications, such as omitted variables, incorrect lag-length, and excluded moving average terms, which results in biased and inconsistent parameter estimates. Furthermore, the symmetric VAR model is more likely misspecified due to the assumption that variables in the VAR have the same level of endogeneity. This paper extends the Bayesian Averaging of Classical Estimates, a robustness procedure in cross-section data, to a vector time-series that is estimated using a large number of Asymmetric VAR models, in order to achieve robust results. The combination of the two procedures is deemed to minimize the effects of misspecification errors by extracting and utilizing more information on the interaction of the variables, and cancelling out the effects of omitted variables and omitted MA terms through averaging. The proposed procedure is applied to simulated data from various forms of model misspecifications. The forecasting accuracy of the proposed procedure was compared to an automatically selected equal lag-length VAR. The results of the simulation suggest that, under misspecification problems, particularly if an important variable and MA terms are omitted, the proposed procedure is better in forecasting than the automatically selected equal lag-length VAR model.

Suggested Citation

  • Albis, Manuel Leonard F. & Mapa, Dennis S., 2014. "Bayesian Averaging of Classical Estimates in Asymmetric Vector Autoregressive (AVAR) Models," MPRA Paper 55902, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:55902
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/55902/1/MPRA_paper_55902.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Runkle, David E, 1987. "Vector Autoregressions and Reality," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 437-442, October.
    2. Dimitris Korobilis, 2013. "Var Forecasting Using Bayesian Variable Selection," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(2), pages 204-230, March.
    3. Sims, Christopher A, 1980. "Comparison of Interwar and Postwar Business Cycles: Monetarism Reconsidered," American Economic Review, American Economic Association, vol. 70(2), pages 250-257, May.
    4. Lutkepohl, Helmut, 2006. "Forecasting with VARMA Models," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 1, chapter 6, pages 287-325, Elsevier.
    5. Christopher A. Sims & Tao Zha, 1999. "Error Bands for Impulse Responses," Econometrica, Econometric Society, vol. 67(5), pages 1113-1156, September.
    6. Carriero, A. & Kapetanios, G. & Marcellino, M., 2009. "Forecasting exchange rates with a large Bayesian VAR," International Journal of Forecasting, Elsevier, vol. 25(2), pages 400-417.
    7. Braun, Phillip A. & Mittnik, Stefan, 1993. "Misspecifications in vector autoregressions and their effects on impulse responses and variance decompositions," Journal of Econometrics, Elsevier, vol. 59(3), pages 319-341, October.
    8. David E. Runkle, 1987. "Vector autoregressions and reality," Staff Report 107, Federal Reserve Bank of Minneapolis.
    9. Omer Ozcicek & W. DOUGLAS McMILLIN, 1999. "Lag length selection in vector autoregressive models: symmetric and asymmetric lags," Applied Economics, Taylor & Francis Journals, vol. 31(4), pages 517-524.
    10. Stock, James H & Watson, Mark W, 1996. "Evidence on Structural Instability in Macroeconomic Time Series Relations," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(1), pages 11-30, January.
    11. Ribeiro Ramos, Francisco Fernando, 2003. "Forecasts of market shares from VAR and BVAR models: a comparison of their accuracy," International Journal of Forecasting, Elsevier, vol. 19(1), pages 95-110.
    12. James H. Stock & Mark W. Watson, 2001. "Vector Autoregressions," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 101-115, Fall.
    13. Clifford M. Hurvich & Chih‐Ling Tsai, 1993. "A Corrected Akaike Information Criterion For Vector Autoregressive Model Selection," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(3), pages 271-279, May.
    14. Rodney Strachan & Herman K. van Dijk, "undated". "Bayesian Model Averaging in Vector Autoregressive Processes with an Investigation of Stability of the US Great Ratios and Risk of a Liquidity Trap in the USA, UK and Japan," MRG Discussion Paper Series 1407, School of Economics, University of Queensland, Australia.
    15. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    16. Sala-i-Martin, Xavier, 1997. "I Just Ran Two Million Regressions," American Economic Review, American Economic Association, vol. 87(2), pages 178-183, May.
    17. Runkle, David E, 1987. "Vector Autoregressions and Reality: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 454-454, October.
    18. Òscar Jordà, 2005. "Estimation and Inference of Impulse Responses by Local Projections," American Economic Review, American Economic Association, vol. 95(1), pages 161-182, March.
    19. Lutkepohl, Helmut, 1990. "Asymptotic Distributions of Impulse Response Functions and Forecast Error Variance Decompositions of Vector Autoregressive Models," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 116-125, February.
    20. Fackler, James S & Krieger, Sandra C, 1986. "An Application of Vector Time Series Techniques to Macroeconomic Forecasting," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 71-80, January.
    21. Xavier Sala-I-Martin & Gernot Doppelhofer & Ronald I. Miller, 2004. "Determinants of Long-Term Growth: A Bayesian Averaging of Classical Estimates (BACE) Approach," American Economic Review, American Economic Association, vol. 94(4), pages 813-835, September.
    22. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
    23. Keating, John W., 2000. "Macroeconomic Modeling with Asymmetric Vector Autoregressions," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 1-28, January.
    24. Hsiao, Cheng, 1981. "Autoregressive modelling and money-income causality detection," Journal of Monetary Economics, Elsevier, vol. 7(1), pages 85-106.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Atif Maqbool Khan & Jacek Kwiatkowski & Magdalena Osińska & Marcin Błażejowski, 2021. "Factors of Renewable Energy Consumption in the European Countries—The Bayesian Averaging Classical Estimates Approach," Energies, MDPI, vol. 14(22), pages 1-24, November.
    2. Marcin Blazejowski & Jacek Kwiatkowski, 2018. "Bayesian Averaging of Classical Estimates (BACE) for gretl," gretl working papers 6, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    3. Marcin Błażejowski & Jacek Kwiatkowski & Paweł Kufel, 2020. "BACE and BMA Variable Selection and Forecasting for UK Money Demand and Inflation with Gretl," Econometrics, MDPI, vol. 8(2), pages 1-29, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. John D. Levendis, 2018. "Time Series Econometrics," Springer Texts in Business and Economics, Springer, number 978-3-319-98282-3, June.
    2. Kilian, Lutz & Chang, Pao-Li, 2000. "How accurate are confidence intervals for impulse responses in large VAR models?," Economics Letters, Elsevier, vol. 69(3), pages 299-307, December.
    3. Ireland, Peter N., 2004. "A method for taking models to the data," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1205-1226, March.
    4. Jonathan H. Wright, 2000. "Exact confidence intervals for impulse responses in a Gaussian vector autoregression," International Finance Discussion Papers 682, Board of Governors of the Federal Reserve System (U.S.).
    5. Jin, Jang C., 2006. "Openness, growth, and inflation: Evidence from South Korea before the economic crisis," Journal of Asian Economics, Elsevier, vol. 17(4), pages 738-757, October.
    6. Sajjad Faraji Dizaji, 2019. "Trade openness, political institutions, and military spending (evidence from lifting Iran’s sanctions)," Empirical Economics, Springer, vol. 57(6), pages 2013-2041, December.
    7. Sergio Ocampo & Norberto Rodríguez, 2011. "An Introductory Review of a Structural VAR-X Estimation and Applications," Borradores de Economia 9200, Banco de la Republica.
    8. Farzanegan, Mohammad Reza, 2011. "Oil revenue shocks and government spending behavior in Iran," Energy Economics, Elsevier, vol. 33(6), pages 1055-1069.
    9. Jin, Jang C., 2006. "Can openness be an engine of sustained high growth rates and inflation?: Evidence from Japan and Korea," International Review of Economics & Finance, Elsevier, vol. 15(2), pages 228-240.
    10. Muriel Barlet & Marie-Émilie Clerc & Marguerite Garnero & Vincent Lapègue & Vincent Marcus, 2012. "La nouvelle version du modèle MZE, modèle macroéconométrique pour la zone euro : Des intervalles de confiance pour contrôler les résultats variantiels," Économie et Statistique, Programme National Persée, vol. 451(1), pages 155-177.
    11. Keuk-Soo Kim & W. Douglas McMillin, 2003. "Estimating the effects of monetary policy shocks: does lag structure matter?," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1515-1526.
    12. Pao-Lin Tien, 2009. "Using Long-Run Restrictions to Investigate the Sources of Exchange Rate Fluctuations," Wesleyan Economics Working Papers 2009-004, Wesleyan University, Department of Economics.
    13. Mohammad Reza Farzanegan, 2014. "Military Spending and Economic Growth: The Case of Iran," Defence and Peace Economics, Taylor & Francis Journals, vol. 25(3), pages 247-269, June.
    14. Kilian, Lutz & Kim, Yun Jung, 2009. "Do Local Projections Solve the Bias Problem in Impulse Response Inference?," CEPR Discussion Papers 7266, C.E.P.R. Discussion Papers.
    15. Ansari, M. I., 1996. "Monetary vs. fiscal policy: Some evidence from vector autoregression for India," Journal of Asian Economics, Elsevier, vol. 7(4), pages 677-698.
    16. Vetlov, Igor & Ferdinandusse, Marien & de Jong, Jasper & Funda, Josip, 2017. "The effect of public investment in Europe: a model-based assessment," Working Paper Series 2021, European Central Bank.
    17. Dizaji, S.F. & Murshed, S.M., 2020. "The impact of external arms restrictions on democracy and conflict in developing countries," ISS Working Papers - General Series 128245, International Institute of Social Studies of Erasmus University Rotterdam (ISS), The Hague.
    18. Monika Blaszkiewicz-Schwartzman, 2007. "Explaining Exchange Rate Movements in New Member States of the European Union: Nominal and Real Convergence," Money Macro and Finance (MMF) Research Group Conference 2006 144, Money Macro and Finance Research Group.
    19. Jose Tavares & Rossen Valkanov, 2001. "The neglected effect of fiscal policy on stock and bond returns," Nova SBE Working Paper Series wp413, Universidade Nova de Lisboa, Nova School of Business and Economics.
    20. Edward N. Gamber, 1996. "The policy content of the yield curve slope," Review of Financial Economics, John Wiley & Sons, vol. 5(2), pages 163-179.

    More about this item

    Keywords

    BACE; AVAR; Robustness Procedures;
    All these keywords.

    JEL classification:

    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:55902. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.