IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/37635.html

Backward and forward closed solutions of multivariate ARMA models

Author

Listed:
  • Ludlow-Wiechers, Jorge

Abstract

Some of the most widely used models in economics are based on variables not yet observed, and their specification depends on future observations; the theory that underpins these delivers the backward/ forward solution. We present a newly unified construction, starting with a more general specification of an ARMA model, yet is capable of delivering in closed form, in both the backward and forward cases, leading to an alternative presentation of causal/non-causal and invertible/non-invertible cases.

Suggested Citation

  • Ludlow-Wiechers, Jorge, 2012. "Backward and forward closed solutions of multivariate ARMA models," MPRA Paper 37635, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:37635
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/37635/1/MPRA_paper_37635.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Helmut Lütkepohl, 2005. "New Introduction to Multiple Time Series Analysis," Springer Books, Springer, number 978-3-540-27752-1, December.
    2. Bénédicte Vidaillet & V. d'Estaintot & P. Abécassis, 2005. "Introduction," Post-Print hal-00287137, HAL.
    Full references (including those not matched with items on IDEAS)

    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. Cubadda, Gianluca & Hecq, Alain & Palm, Franz C., 2009. "Studying co-movements in large multivariate data prior to multivariate modelling," Journal of Econometrics, Elsevier, vol. 148(1), pages 25-35, January.
    2. Ana María Iregui & Jesús Otero, 2013. "A Spatiotemporal Analysis of Agricultural Prices: An Application to Colombian Data," Agribusiness, John Wiley & Sons, Ltd., vol. 29(4), pages 497-508, September.
    3. Cudjoe, Godsway & Breisinger, Clemens & Diao, Xinshen, 2010. "Local impacts of a global crisis: Food price transmission, consumer welfare and poverty in Ghana," Food Policy, Elsevier, vol. 35(4), pages 294-302, August.
    4. Kühl, Michael, 2007. "Cointegration in the foreign exchange market and market efficiency since the introduction of the Euro: Evidence based on bivariate cointegration analyses," University of Göttingen Working Papers in Economics 68, University of Goettingen, Department of Economics.
    5. Lemke, Wolfgang & Strohsal, Till, 2013. "What Can Break-Even Inflation Rates Tell Us about the Anchoring of Inflation Expectations in the Euro Area?," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79794, Verein für Socialpolitik / German Economic Association.
    6. repec:hum:wpaper:sfb649dp2014-007 is not listed on IDEAS
    7. Luis Alberto Toscano Medrano & Mário Jorge Cardoso de Mendonça & Manoel Carlos Pires, 2008. "Administração e Sustentabilidade da Dívida Pública no Brasil: Uma análise para o período 1995-2007," Anais do XXXVI Encontro Nacional de Economia [Proceedings of the 36th Brazilian Economics Meeting] 200807181514010, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    8. Netsunajev, Aleksei, 2013. "Reaction to technology shocks in Markov-switching structural VARs: Identification via heteroskedasticity," Journal of Macroeconomics, Elsevier, vol. 36(C), pages 51-62.
    9. Helmut Lütkepohl, 2013. "Vector autoregressive models," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 6, pages 139-164, Edward Elgar Publishing.
    10. Helmut Lütkepohl, 2013. "Reducing confidence bands for simulated impulse responses," Statistical Papers, Springer, vol. 54(4), pages 1131-1145, November.
    11. Lanne, Markku & Lütkepohl, Helmut, 2010. "Structural Vector Autoregressions With Nonnormal Residuals," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 159-168.
    12. Norbert Schanne, 2011. "Forecasting Regional Labour Markets with GVAR Models and Indicators (refereed paper)," ERSA conference papers ersa10p1044, European Regional Science Association.
    13. Gianluca Cafiso, 2014. "Debt Sustainability in the Case of External Debt. An Analysis Based on Italy's Treasury Auctions," CESifo Working Paper Series 5021, CESifo.
    14. Badi H. Baltagi & Chihwa Kao & Long Liu, 2012. "On the Estimation and Testing of Fixed Effects Panel Data Models with Weak Instruments," Advances in Econometrics, in: 30th Anniversary Edition, pages 199-235, Emerald Group Publishing Limited.
    15. Spanos, Aris, 2010. "Akaike-type criteria and the reliability of inference: Model selection versus statistical model specification," Journal of Econometrics, Elsevier, vol. 158(2), pages 204-220, October.
    16. Mário Jorge Mendonça & Luis Alberto Medrano & Adolfo Sachsida, 2009. "Avaliando a Condição da Política Fiscal no Brasil," Discussion Papers 1409, Instituto de Pesquisa Econômica Aplicada - IPEA.
    17. Matteo Fragetta & Emanuel Gasteiger, 2014. "Fiscal Foresight, Limited Information and the Effects of Government Spending Shocks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(5), pages 667-692, October.
    18. Acharya, Ram N. & Gentle, Paul F. & Mishra, Ashok K. & Paudel, Krishna P., 2008. "Examining The Crb Index As An Indicator For U.S. Inflation," 2008 Annual Meeting, February 2-6, 2008, Dallas, Texas 6760, Southern Agricultural Economics Association.
    19. Psaradakis, Zacharias & Vávra, Marián, 2014. "On testing for nonlinearity in multivariate time series," Economics Letters, Elsevier, vol. 125(1), pages 1-4.
    20. Zlatina Balabanova & Ralf Brüggemann, 2012. "External Information and Monetary Policy Transmission in New EU Member States: Results from FAVAR Models," Working Paper Series of the Department of Economics, University of Konstanz 2012-05, Department of Economics, University of Konstanz.
    21. Seymen, Atılım, 2013. "Sequential identification of technological news shocks," ZEW Discussion Papers 13-111, ZEW - Leibniz Centre for European Economic Research.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C01 - Mathematical and Quantitative Methods - - General - - - 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:37635. 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.