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A Representation of Vector Autoregressive Processes Integrated of Order 2

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Cited by:

  1. Diamandis, Panayiotis F. & Georgoutsos, Dimitris A. & Kouretas, Georgios P., 2000. "The monetary model in the presence of I(2) components: long-run relationships, short-run dynamics and forecasting of the Greek drachma," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 917-941, December.
  2. Lisbeth Funding la Cour, 1995. "A Component® based Analysis of the danish Long-run Money Demand Relation," Discussion Papers 95-18, University of Copenhagen. Department of Economics.
  3. Norrbin, Stefan C. & Reffett, Kevin L., 1996. "A substitution test of long-run money demand," Journal of Macroeconomics, Elsevier, vol. 18(2), pages 253-270.
  4. Jurgen A. Doornik, 2017. "Maximum Likelihood Estimation of the I(2) Model under Linear Restrictions," Econometrics, MDPI, vol. 5(2), pages 1-20, May.
  5. Mohammad Naim Azimi & Mohammad Musa Shafiq, 2020. "Hypothesizing directional causality between the governance indicators and economic growth: the case of Afghanistan," Future Business Journal, Springer, vol. 6(1), pages 1-14, December.
  6. Bruneau, C. & De bandt, O. & Flageollet, A., 2004. "Inflation and the Markup in the Euro Area," Working papers 114, Banque de France.
  7. Norrbin, Stefan C. & Reffett, Kevin L., 1995. "I(2) representations of US money demand," Economics Letters, Elsevier, vol. 49(4), pages 415-423, October.
  8. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
  9. Beare, Brendan K. & Seo, Won-Ki, 2020. "Representation Of I(1) And I(2) Autoregressive Hilbertian Processes," Econometric Theory, Cambridge University Press, vol. 36(5), pages 773-802, October.
  10. Massimo Franchi & Paolo Paruolo, 2011. "Normal forms of regular matrix polynomials via local rank factorization," DSS Empirical Economics and Econometrics Working Papers Series 2011/1, Centre for Empirical Economics and Econometrics, Department of Statistics, "Sapienza" University of Rome.
  11. Kheifets, Igor L. & Phillips, Peter C.B., 2023. "Fully modified least squares cointegrating parameter estimation in multicointegrated systems," Journal of Econometrics, Elsevier, vol. 232(2), pages 300-319.
  12. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
  13. Massimo Franchi, 2017. "On the structure of state space systems with unit roots," DSS Empirical Economics and Econometrics Working Papers Series 2017/4, Centre for Empirical Economics and Econometrics, Department of Statistics, "Sapienza" University of Rome.
  14. ByungWoo Kim, 2012. "Growth regression revisited: R&D promotes convergence?," Applied Economics, Taylor & Francis Journals, vol. 44(11), pages 1347-1362, April.
  15. Toda, Hiro Y. & Yamamoto, Taku, 1995. "Statistical inference in vector autoregressions with possibly integrated processes," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 225-250.
  16. Shigeyuki Hamori, 2000. "The transmission mechanism of business cycles among Germany, Japan, the UK and the USA," Applied Economics, Taylor & Francis Journals, vol. 32(4), pages 405-410.
  17. Peter C.B. Phillips & Igor Kheifets, 2021. "On Multicointegration," Cowles Foundation Discussion Papers 2306, Cowles Foundation for Research in Economics, Yale University.
  18. Diamandis, Panayiotis F., 2003. "Market efficiency, purchasing power parity, and the official and parallel markets for foreign currency in Latin America," International Review of Economics & Finance, Elsevier, vol. 12(1), pages 89-110.
  19. Massimo Franchi & Paolo Paruolo, 2019. "A general inversion theorem for cointegration," Econometric Reviews, Taylor & Francis Journals, vol. 38(10), pages 1176-1201, November.
  20. Diamandis, Panayiotis F. & Kouretas, Georgios P. & Zarangas, Leonidas, 2007. "Dual foreign currency markets and the role of expectations: Evidence from the Pacific Basin countries," Research in International Business and Finance, Elsevier, vol. 21(2), pages 238-259, June.
  21. Fragiskos Archontakis, 1998. "An alternative proof of Granger’s Representation Theorem forI(1) systems through Jordan matrices," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 7(2), pages 111-127, August.
  22. Rahbek, Anders & Christian Kongsted, Hans & Jorgensen, Clara, 1999. "Trend stationarity in the I(2) cointegration model," Journal of Econometrics, Elsevier, vol. 90(2), pages 265-289, June.
  23. Hendry, David F., 2006. "Robustifying forecasts from equilibrium-correction systems," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 399-426.
  24. Dietmar Bauer & Martin Wagner, 2002. "A Canonical Form for Unit Root Processes in the State Space Framework," Diskussionsschriften dp0204, Universitaet Bern, Departement Volkswirtschaft.
  25. Massimo Franchi & Paolo Paruolo, 2021. "Cointegration, Root Functions and Minimal Bases," Econometrics, MDPI, vol. 9(3), pages 1-27, August.
  26. Paruolo, Paolo, 2006. "Common trends and cycles in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 132(1), pages 143-168, May.
  27. Dimitris Georgoutsos & Georgios Kouretas, 2004. "A Multivariate I(2) cointegration analysis of German hyperinflation," Applied Financial Economics, Taylor & Francis Journals, vol. 14(1), pages 29-41.
  28. Kouretas, Georgios P. & Yannopoulos, Andreas, 2006. "Dynamic modelling of trade union behaviour: Evidence from the Greek manufacturing sector," Economic Modelling, Elsevier, vol. 23(2), pages 316-338, March.
  29. Eiji Kurozumi, 2002. "Testing For Periodic Stationarity," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 243-270.
  30. Mario Faliva & Maria Grazia Zoia, 2021. "Cointegrated Solutions of Unit-Root VARs: An Extended Representation Theorem," Papers 2102.10626, arXiv.org.
  31. Arbués, Ignacio & Ledo, Ramiro & Matilla-García, Mariano, 2016. "Automatic identification of general vector error correction models," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 10, pages 1-41.
  32. Aynur Pala, 2013. "Structural Breaks, Cointegration, and Causality by VECM Analysis of Crude Oil and Food Price," International Journal of Energy Economics and Policy, Econjournals, vol. 3(3), pages 238-246.
  33. Katarina Juselius, 2017. "Using a Theory-Consistent CVAR Scenario to Test an Exchange Rate Model Based on Imperfect Knowledge," Econometrics, MDPI, vol. 5(3), pages 1-20, July.
  34. Hassler, Uwe, 2007. "Multicointegration under measurement errors," Economics Letters, Elsevier, vol. 96(1), pages 38-44, July.
  35. Assenmacher-Wesche, Katrin & Beyer, Andreas, 2019. "A cointegration model of money and wealth," CFS Working Paper Series 619, Center for Financial Studies (CFS).
  36. Christian Mueller, 2004. "Monopolistic Competition in Switzerland and Mark-up Pricing Over the Business Cycle," KOF Working papers 04-86, KOF Swiss Economic Institute, ETH Zurich.
  37. Müller-Kademann Christian, 2015. "Internal Validation of Temporal Disaggregation: A Cloud Chamber Approach," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 235(3), pages 298-319, June.
  38. William Barnett & Barry E. Jones & Milka Kirova & Travis D. Nesmith & Meenakshi Pasupathy1, 2004. "The Nonlinear Skeletons in the Closet," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200403, University of Kansas, Department of Economics, revised May 2004.
  39. Alain Hecq & Luca Margaritella & Stephan Smeekes, 2023. "Inference in Non-stationary High-Dimensional VARs," Papers 2302.01434, arXiv.org, revised Sep 2023.
  40. Paruolo, Paolo & Rahbek, Anders, 1999. "Weak exogeneity in I(2) VAR systems," Journal of Econometrics, Elsevier, vol. 93(2), pages 281-308, December.
  41. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
  42. Yang, Minxian, 1998. "On identifying permanent and transitory shocks in VAR models," Economics Letters, Elsevier, vol. 58(2), pages 171-175, February.
  43. Mosconi, Rocco & Paruolo, Paolo, 2017. "Identification conditions in simultaneous systems of cointegrating equations with integrated variables of higher order," Journal of Econometrics, Elsevier, vol. 198(2), pages 271-276.
  44. Amir Kia, 2005. "Sustainability of the Fiscal Process in Developing Countries- Egypt, Iran and Turkey: A Multicointegration Approach – revised version: Fiscal Sustainability in Emerging Countries: Evidence from Iran a," Carleton Economic Papers 05-08, Carleton University, Department of Economics, revised Nov 2008.
  45. Anindya Banerjee & Lynne Cockerell & Bill Russell, 2001. "An I(2) analysis of inflation and the markup," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 221-240.
  46. Diamandis, Panayiotis F., 2009. "International stock market linkages: Evidence from Latin America," Global Finance Journal, Elsevier, vol. 20(1), pages 13-30.
  47. Banerjee, A. & Russell, B., 1999. "The Relationship Between the Markup and Inflation in the G7 Plus One Economies," Economics Series Working Papers 99205, University of Oxford, Department of Economics.
  48. Panayiotis Diamantis & Dimitris Georgoutsos & George Kouretas, 2001. "The Monetary Approach in the Presence of I(2) Components: A Cointegration Analysis of the Official and Black Market for Foreign Currency in Latin America," Working Papers 0108, University of Crete, Department of Economics.
  49. Katarina Juselius & Katrin Assenmacher, 2014. "Real exchange rate persistence: the case of the Swiss franc-US dollar rate," Discussion Papers 14-26, University of Copenhagen. Department of Economics.
  50. David F. Hendry, 2004. "Unpredictability and the Foundations of Economic Forecasting," Economics Papers 2004-W15, Economics Group, Nuffield College, University of Oxford.
  51. Miguel Ángel Mendoza González, 2020. "Sensibilidad y asimetrías ante choques de ingreso en el consumo privado de México, 1995-2017. (Sensitivity and asymmetries of income shocks in Mexico's private consumption, 1995-2017)," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(1), pages 21-58, May.
  52. Paruolo Paolo, 2002. "Testing for common trends in conditional I(2) VAR models," Economics and Quantitative Methods qf0216, Department of Economics, University of Insubria.
  53. Yuanyuan Li & Dietmar Bauer, 2020. "Modeling I(2) Processes Using Vector Autoregressions Where the Lag Length Increases with the Sample Size," Econometrics, MDPI, vol. 8(3), pages 1-28, September.
  54. Johansen, Søren & Juselius, Katarina & Frydman, Roman & Goldberg, Michael, 2010. "Testing hypotheses in an I(2) model with piecewise linear trends. An analysis of the persistent long swings in the Dmk/$ rate," Journal of Econometrics, Elsevier, vol. 158(1), pages 117-129, September.
  55. Kurita, Takamitsu, 2020. "Likelihood-based tests for parameter constancy in I(2) CVAR models with an application to fixed-term deposit data," Journal of Multivariate Analysis, Elsevier, vol. 178(C).
  56. Clements, Michael P., 2016. "Long-run restrictions and survey forecasts of output, consumption and investment," International Journal of Forecasting, Elsevier, vol. 32(3), pages 614-628.
  57. Boswijk, H. Peter & Franses, Philip Hans & Haldrup, Niels, 1997. "Multiple unit roots in periodic autoregression," Journal of Econometrics, Elsevier, vol. 80(1), pages 167-193, September.
  58. Federico Carlini & Paolo Santucci de Magistris, 2019. "Resuscitating the co-fractional model of Granger (1986)," Discussion Papers 19/01, University of Nottingham, Granger Centre for Time Series Econometrics.
  59. Juselius, Katarina & Stillwagon, Josh R., 2018. "Are outcomes driving expectations or the other way around? An I(2) CVAR analysis of interest rate expectations in the dollar/pound market," Journal of International Money and Finance, Elsevier, vol. 83(C), pages 93-105.
  60. Panayiotis Diamandis & Georgios Kouretas & Leonidas Zarangas, 2005. "Expectations and the black market premium for foreign currency in Greece," Applied Financial Economics, Taylor & Francis Journals, vol. 15(10), pages 667-677.
  61. Haldrup, Niels & Salmon, Mark, 1998. "Representations of I(2) cointegrated systems using the Smith-McMillan form," Journal of Econometrics, Elsevier, vol. 84(2), pages 303-325, June.
  62. Nielsen, Heino Bohn, 2007. "A "maximum-eigenvalue" test for the cointegration ranks in I(2) vector autoregressions," Economics Letters, Elsevier, vol. 94(3), pages 445-451, March.
  63. Ederer, Stefan & Heumesser, Christine & Staritz, Cornelia, 2013. "The role of fundamentals and financialisation in recent commodity price developments: An empirical analysis for wheat, coffee, cotton, and oil," Working Papers 42, Austrian Foundation for Development Research (ÖFSE).
  64. Katarina Juselius, 2017. "A CVAR scenario for a standard monetary model using theory-consistent expectations," Discussion Papers 17-08, University of Copenhagen. Department of Economics.
  65. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
  66. Franchi, Massimo & Paruolo, Paolo, 2011. "A characterization of vector autoregressive processes with common cyclical features," Journal of Econometrics, Elsevier, vol. 163(1), pages 105-117, July.
  67. Johansen, Soren, 2006. "Statistical analysis of hypotheses on the cointegrating relations in the I(2) model," Journal of Econometrics, Elsevier, vol. 132(1), pages 81-115, May.
  68. Omtzigt, Pieter & Paruolo, Paolo, 2005. "Impact factors," Journal of Econometrics, Elsevier, vol. 128(1), pages 31-68, September.
  69. Søren Johansen & Katarina Juselius & Roman Frydman & Michael Goldberg, 2007. "Testing Hypotheses in an I(2) Model with Applications to the Persistent Long Swings in the Dmk/$ Rate," Discussion Papers 07-34, University of Copenhagen. Department of Economics.
  70. Dimitris Georgoutsos & George Kouretas, 2001. "Common Stochastic Trends In International Stock Markets: Testing In An Integrated Framework," Working Papers 0104, University of Crete, Department of Economics.
  71. Cushman, David O. & Sang Sub Lee & Thorgeirsson, Thorsteinn, 1996. "Maximum likelihood estimation of cointegration in exchange rate models for seven inflationary OECD countries," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 337-368, June.
  72. Regina Escario & Mar�a Dolores Gadea & Marcela Sabat�, 2009. "Government Solvency or just Pseudo-Sustainability? a Long-Run Multicointegration Approach for Spain," Documentos de Trabajo dt2009-07, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza.
  73. Paolo Paruolo, 1994. "The role of the drift in I(2) systems," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 3(1), pages 93-123, February.
  74. Bruns, Stephan B. & Csereklyei, Zsuzsanna & Stern, David I., 2020. "A multicointegration model of global climate change," Journal of Econometrics, Elsevier, vol. 214(1), pages 175-197.
  75. Majocchi Antonio & Pavione Enrica, 2002. "International franchising in Italy: trends and perspectives," Economics and Quantitative Methods qf0215, Department of Economics, University of Insubria.
  76. Takamitsu Kurita, 2009. "A note on testing parameter constancy in cointegrated vector autoregression: the case of near I(2) processes," Economics Bulletin, AccessEcon, vol. 29(2), pages 575-587.
  77. Bjørnar Karlsen Kivedal, 2023. "Long run non-linearity in CO2 emissions: the I(2) cointegration model and the environmental Kuznets curve," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 50(4), pages 899-931, November.
  78. Hans Christian Kongsted & Heino Bohn Nielsen, 2004. "Analysing I(2) Systems by Transformed Vector Autoregressions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 379-397, July.
  79. Everaert, Gerdie, 2003. "Balanced growth and public capital: an empirical analysis with I(2) trends in capital stock data," Economic Modelling, Elsevier, vol. 20(4), pages 741-763, July.
  80. Hui Liu & Gabriel Rodriguez, 2003. "Human Activities and Global Warming: A Cointegration Analysis," Working Papers 0307E, University of Ottawa, Department of Economics.
  81. Ericsson, Neil R & Hendry, David F & Mizon, Grayham E, 1998. "Exogeneity, Cointegration, and Economic Policy Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 370-387, October.
  82. Federico Carlini & Paolo Santucci de Magistris, 2019. "Resuscitating the co-fractional model of Granger (1986)," CREATES Research Papers 2019-02, Department of Economics and Business Economics, Aarhus University.
  83. Igor Kheifets & Peter C.B. Phillips, 2019. "Fully Modified Least Squares for Multicointegrated Systems," Cowles Foundation Discussion Papers 2210, Cowles Foundation for Research in Economics, Yale University.
  84. Yamada, Hiroshi & Toda, Hiro Y., 1998. "Inference in possibly integrated vector autoregressive models: some finite sample evidence," Journal of Econometrics, Elsevier, vol. 86(1), pages 55-95, June.
  85. Hans Christian Kongsted, 2002. "Testing the Nominal-to-Real Transformation," Discussion Papers 02-06, University of Copenhagen. Department of Economics.
  86. Luca Fanelli & Emanuele Bacchiocchi, 2005. "Testing the purchasing power parity through I(2) cointegration techniques," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(6), pages 749-770.
  87. Francesca Di Iorio & Stefano Fachin & Riccardo Lucchetti, 2016. "Can you do the wrong thing and still be right? Hypothesis testing in I(2) and near-I(2) cointegrated VARs," Applied Economics, Taylor & Francis Journals, vol. 48(38), pages 3665-3678, August.
  88. Leonardo Salazar, 2017. "Modeling Real Exchange Rate Persistence in Chile," Econometrics, MDPI, vol. 5(3), pages 1-21, July.
  89. Diamandis, Panayiotis F. & Drakos, Anastassios A., 2005. "Long-run dynamics of official and black-market exchange rates in Latin America," Global Finance Journal, Elsevier, vol. 15(3), pages 219-237, February.
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  93. Mosconi, Rocco & Paruolo, Paolo, 2014. "Rank and order conditions for identification in simultaneous system of cointegrating equations with integrated variables of order two," MPRA Paper 53589, University Library of Munich, Germany.
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  96. Eleni Constantinou & Avo Kazandjian & George Kouretas & Vera Tahmazian, 2005. "Cointegration, causality and domestic portfolio diversification in the Cyprus Stock Exchange," Working Papers 0522, University of Crete, Department of Economics.
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  102. Katarina Juselius, 2001. "European integration and monetary transmission mechanisms: the case of Italy," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 341-358.
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