Wald Tests of I(1) against I(d) alternatives : some new properties and an extension to processes with trending components
Author
Abstract
Suggested Citation
Download full text from publisher
Other versions of this item:
- Dolado Juan J. & Gonzalo Jesus & Mayoral Laura, 2008. "Wald Tests of I(1) against I(d) Alternatives: Some New Properties and an Extension to Processes with Trending Components," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(4), pages 1-35, December.
References listed on IDEAS
- Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
- Robert J. Barro, 2013.
"Inflation and Economic Growth,"
Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
- Robert J. Barro, 1995. "Inflation and Economic Growth," NBER Working Papers 5326, National Bureau of Economic Research, Inc.
- Robert J. Barro, 2012. "Inflation and Economic Growth," CEMA Working Papers 568, China Economics and Management Academy, Central University of Finance and Economics.
- Gourieroux,Christian & Monfort,Alain, 1995.
"Statistics and Econometric Models,"
Cambridge Books,
Cambridge University Press, number 9780521471626, September.
- Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521477451, September.
- Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521477444, September.
- Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521405515, September.
- Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
- P. M. Robinson & J. Hualde, 2003.
"Cointegration in Fractional Systems with Unknown Integration Orders,"
Econometrica, Econometric Society, vol. 71(6), pages 1727-1766, November.
- Peter M. Robinson & Javier Hualde, 2002. "Cointegration in Fractional Systems with Unknown Integration Orders," Faculty Working Papers 07/02, School of Economics and Business Administration, University of Navarra.
- Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(2), pages 495-525.
- Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
- Breitung, Jorg & Hassler, Uwe, 2002.
"Inference on the cointegration rank in fractionally integrated processes,"
Journal of Econometrics, Elsevier, vol. 110(2), pages 167-185, October.
- Breitung, Jörg & Hassler, Uwe, 2000. "Inference on the cointegration rank in fractionally integrated processes," SFB 373 Discussion Papers 2000,65, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Breitung, Jörg & Hassler, Uwe, 2002. "Inference on the cointegration rank in fractionally integrated processes," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 9323, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
- Joerg Breitung and Uwe Hassler, 2001. "Inference on the Cointegration Rank in Fractionally Integrated Processes," Computing in Economics and Finance 2001 233, Society for Computational Economics.
- Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996.
"Efficient Tests for an Autoregressive Unit Root,"
Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
- Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992. "Efficient Tests for an Autoregressive Unit Root," NBER Technical Working Papers 0130, National Bureau of Economic Research, Inc.
- Tom Doan, "undated". "GLSDETREND: RATS procedure to perform local to unity GLS detrending," Statistical Software Components RTS00077, Boston College Department of Economics.
- Tom Doan, "undated". "ERSTEST: RATS procedure to perform Elliott-Rothenberg-Stock unit root tests," Statistical Software Components RTS00066, Boston College Department of Economics.
- Michelacci, Claudio & Zaffaroni, Paolo, 2000.
"(Fractional) beta convergence,"
Journal of Monetary Economics, Elsevier, vol. 45(1), pages 129-153, February.
- Claudio Michelacci & Paolo Zaffaroni, 1998. "(Fractional) Beta Convergence," Working Papers wp1998_9803, CEMFI.
- Michelacci, C. & Zaffaroni, P., 2000. "(Fractional) Beta Convergence," Papers 383, Banca Italia - Servizio di Studi.
- Michelacci, C. & Zaffaroni, P., 1998. "(Fractional) Beta Convergence," Papers 9803, Centro de Estudios Monetarios Y Financieros-.
- Claudio Michelacci & Paolo Zaffaroni, 2000. "(Fractional) Beta Convergence," Temi di discussione (Economic working papers) 383, Bank of Italy, Economic Research and International Relations Area.
- Juan J. Dolado & Jesus Gonzalo & Laura Mayoral, 2002. "A Fractional Dickey-Fuller Test for Unit Roots," Econometrica, Econometric Society, vol. 70(5), pages 1963-2006, September.
- Ignacio N Lobato & Carlos Velasco, 2007.
"Efficient Wald Tests for Fractional Unit Roots,"
Econometrica, Econometric Society, vol. 75(2), pages 575-589, March.
- Lobato, Ignacio N., 2005. "Efficient wald tests for fractional unit roots," UC3M Working papers. Economics we056935, Universidad Carlos III de Madrid. Departamento de EconomÃa.
- Hualde, Javier & Robinson, Peter M., 2003. "Cointegration in fractional systems with unkown integration orders," LSE Research Online Documents on Economics 58050, London School of Economics and Political Science, LSE Library.
- Tanaka, Katsuto, 1999. "The Nonstationary Fractional Unit Root," Econometric Theory, Cambridge University Press, vol. 15(4), pages 549-582, August.
- Shimotsu, Katsumi, 2010.
"Exact Local Whittle Estimation Of Fractional Integration With Unknown Mean And Time Trend,"
Econometric Theory, Cambridge University Press, vol. 26(2), pages 501-540, April.
- Katsumi Shimotsu, 2006. "Exact Local Whittle Estimation of Fractional Integration with Unknown Mean and Time Trend," Working Paper 1061, Economics Department, Queen's University.
- Javier Hualde & Peter M Robinson, 2003. "Cointegration in Fractional Systems with Unkown Integration Orders," STICERD - Econometrics Paper Series 449, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models 2 volume set," Cambridge Books, Cambridge University Press, number 9780521478373, July.
- Gonzalo, Jesus & Lee, Tae-Hwy, 1998.
"Pitfalls in testing for long run relationships,"
Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
- Gonzalo, J. & Lee, T.H., 1995. "Pitfalls in Testing for Long Run Relationships," Papers 38, Boston University - Department of Economics.
- Velasco, Carlos, 1999. "Non-stationary log-periodogram regression," Journal of Econometrics, Elsevier, vol. 91(2), pages 325-371, August.
- Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
- Robinson, Peter M. & Hualde, Javier, 2003. "Cointegration in fractional systems with unknown integration orders," LSE Research Online Documents on Economics 2223, London School of Economics and Political Science, LSE Library.
- Liu, Ming, 1998. "Asymptotics Of Nonstationary Fractional Integrated Series," Econometric Theory, Cambridge University Press, vol. 14(5), pages 641-662, October.
- Engle, Robert F., 1984. "Wald, likelihood ratio, and Lagrange multiplier tests in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 13, pages 775-826, Elsevier.
- Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-228, August.
- Ignacio N. Lobato & Carlos Velasco, 2006. "Optimal Fractional Dickey-Fuller tests," Econometrics Journal, Royal Economic Society, vol. 9(3), pages 492-510, November.
- Peter Sephton, 2009. "Critical values for the augmented efficient Wald test for fractional unit roots," Empirical Economics, Springer, vol. 37(3), pages 615-626, December.
- Robinson, Peter M. & Velasco, Carlos, 2000. "Whittle pseudo-maximum likelihood estimation for nonstationary time series," LSE Research Online Documents on Economics 2273, London School of Economics and Political Science, LSE Library.
- Peter M Robinson & Carlos Velasco, 2000. "Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series - (Now published in Journal of the American Statistical Association, 95, (2000), pp.1229-1243.)," STICERD - Econometrics Paper Series 391, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Hosking, Jonathan R. M., 1996. "Asymptotic distributions of the sample mean, autocovariances, and autocorrelations of long-memory time series," Journal of Econometrics, Elsevier, vol. 73(1), pages 261-284, July.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Davide Delle Monache & Stefano Grassi & Paolo Santucci, 2015.
"Testing for Level Shifts in Fractionally Integrated Processes: a State Space Approach,"
Studies in Economics
1511, School of Economics, University of Kent.
- Davide Delle Monache & Stefano Grassi & Paolo Santucci de Magistris, 2015. "Testing for Level Shifts in Fractionally Integrated Processes: a State Space Approach," CREATES Research Papers 2015-30, Department of Economics and Business Economics, Aarhus University.
- Dimitris Christopoulos & Peter Mcadam, 2017.
"On the Persistence of Cross‐Country Inequality Measures,"
Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(1), pages 255-266, February.
- Dimitris Christopoulos & Peter McAdam, 2016. "On the Persistence of Cross-Country Inequality Measures," School of Economics Discussion Papers 0216, School of Economics, University of Surrey.
- Seong Yeon Chang & Pierre Perron, 2017. "Fractional Unit Root Tests Allowing for a Structural Change in Trend under Both the Null and Alternative Hypotheses," Econometrics, MDPI, vol. 5(1), pages 1-26, January.
- Peter S. Sephton, 2020. "Mean Reversion in CO2 Emissions: the Need for Structural Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 75(4), pages 953-975, April.
- Palandri, Alessandro, 2024. "Reconciling interest rates evidence with theory: Rejecting unit roots when the HD(1) is a competing alternative," Journal of Banking & Finance, Elsevier, vol. 161(C).
- Davide Delle Monache & Stefano Grassi & Paolo Santucci de Magistris, 2017. "Does the ARFIMA really shift?," CREATES Research Papers 2017-16, Department of Economics and Business Economics, Aarhus University.
- Abadir, Karim M. & Distaso, Walter & Giraitis, Liudas, 2024. "Partially one-sided semiparametric inference for trending persistent and antipersistent processes," Econometrics and Statistics, Elsevier, vol. 30(C), pages 1-14.
- Bozoklu, Seref & Yilanci, Veli & Gorus, Muhammed Sehid, 2020. "Persistence in per capita energy consumption: A fractional integration approach with a Fourier function," Energy Economics, Elsevier, vol. 91(C).
- Juan J. Dolado & Heiko Rachinger & Carlos Velasco, 2022.
"LM Tests for Joint Breaks in the Dynamics and Level of a Long-Memory Time Series,"
Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 40(2), pages 629-650, April.
- Dolado, Juan J & Rachinger, Heiko & Velasco, Carlos, 2020. "LM tests for joint breaks in the dynamics and level of a long-memory time series," CEPR Discussion Papers 15435, C.E.P.R. Discussion Papers.
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.- Javier Haulde & Morten Ørregaard Nielsen, 2022.
"Fractional integration and cointegration,"
CREATES Research Papers
2022-02, Department of Economics and Business Economics, Aarhus University.
- Javier Hualde & Morten {O}rregaard Nielsen, 2022. "Fractional integration and cointegration," Papers 2211.10235, arXiv.org.
- Laura Mayoral, 2006.
"Further Evidence on the Statistical Properties of Real GNP,"
Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 901-920, December.
- Laura Mayoral, 2005. "Further evidence on the statistical properties of real GNP," Economics Working Papers 955, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 2006.
- Guglielmo Caporale & Luis Gil-Alana, 2013.
"Long memory in US real output per capita,"
Empirical Economics, Springer, vol. 44(2), pages 591-611, April.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2009. "Long Memory in US Real Output per Capita," CESifo Working Paper Series 2671, CESifo.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2009. "Long Memory in US Real Output per Capita," Discussion Papers of DIW Berlin 891, DIW Berlin, German Institute for Economic Research.
- Banerjee, Anindya & Urga, Giovanni, 2005. "Modelling structural breaks, long memory and stock market volatility: an overview," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 1-34.
- Gil-Alana, Luis A. & Yaya, OlaOluwa S. & Akinsomi, Omokolade & Coskun, Yener, 2020. "How do stocks in BRICS co-move with real estate stocks?," International Review of Economics & Finance, Elsevier, vol. 69(C), pages 93-101.
- Christian Fischer & Luis Gil-Alana, 2009.
"The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine,"
Applied Economics, Taylor & Francis Journals, vol. 41(11), pages 1345-1359.
- Fischer, Christian & Gil-Alana, Luis A., 2006. "The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine," 98th Seminar, June 29-July 2, 2006, Chania, Crete, Greece 10049, European Association of Agricultural Economists.
- Fischer, Christian & Gil-Alana, Luis A., 2007. "The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine," Discussion Papers 57033, University of Bonn, Institute for Food and Resource Economics.
- Fischer, Christian & Gil-Alana, Luis A., 2006. "The Nature of the Relationship between International Tourism and International Trade: The Case of German Imports of Spanish Wine," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25341, International Association of Agricultural Economists.
- Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "Testing I(1) against I(d) alternatives in the presence of deteministic components," Economics Working Papers 957, Department of Economics and Business, Universitat Pompeu Fabra.
- Lasak, Katarzyna, 2010.
"Likelihood based testing for no fractional cointegration,"
Journal of Econometrics, Elsevier, vol. 158(1), pages 67-77, September.
- Katarzyna Lasak, 2008. "Likelihood based testing for no fractional cointegration," CREATES Research Papers 2008-52, Department of Economics and Business Economics, Aarhus University.
- Gil-Alana, Luis A. & Yaya, OlaOluwa S, 2018. "How do Stocks in BRICS co-move with REITs?," MPRA Paper 88753, University Library of Munich, Germany.
- Hualde, J. & Robinson, P.M., 2007.
"Root-n-consistent estimation of weak fractional cointegration,"
Journal of Econometrics, Elsevier, vol. 140(2), pages 450-484, October.
- Javier Hualde & A Robinson, 2006. "Root-N-Consistent Estimation Of Weakfractional Cointegration," STICERD - Econometrics Paper Series /06/499, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Cunado, J. & Gil-Alana, L. A. & Perez de Gracia, F., 2004. "Real convergence in Taiwan: a fractionally integrated approach," Journal of Asian Economics, Elsevier, vol. 15(3), pages 529-547, June.
- Laura Mayoral, 2005.
"Is the observed persistence spurious? A test for fractional integration versus short memory and structural breaks,"
Economics Working Papers
956, Department of Economics and Business, Universitat Pompeu Fabra.
- Laura Mayoral, 2006. "Is the Observed Persistence Spurious? A Test for Fractional Integration versus Short Memory and Structural Breaks," Working Papers 260, Barcelona School of Economics.
- Guglielmo Caporale & Luis Gil-Alana, 2014.
"Fractional integration and cointegration in US financial time series data,"
Empirical Economics, Springer, vol. 47(4), pages 1389-1410, December.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2011. "Fractional Integration and Cointegration in US Financial Time Series Data," CESifo Working Paper Series 3416, CESifo.
- Luis A. Gil-Alana & Guglielmo Maria Caporale, 2012. "Fractional Integration and Cointegration in US Financial Time Series Data," Faculty Working Papers 12/12, School of Economics and Business Administration, University of Navarra.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2011. "Fractional Integration and Cointegration in US Financial Time Series Data," Discussion Papers of DIW Berlin 1116, DIW Berlin, German Institute for Economic Research.
- Laura Mayoral, 2007.
"Minimum distance estimation of stationary and non-stationary ARFIMA processes,"
Econometrics Journal, Royal Economic Society, vol. 10(1), pages 124-148, March.
- Laura Mayoral, 2006. "Minimum distance estimation of stationary and non-stationary ARFIMA processes," Economics Working Papers 959, Department of Economics and Business, Universitat Pompeu Fabra.
- Aye, Goodness C. & Carcel, Hector & Gil-Alana, Luis A. & Gupta, Rangan, 2017.
"Does gold act as a hedge against inflation in the UK? Evidence from a fractional cointegration approach over 1257 to 2016,"
Resources Policy, Elsevier, vol. 54(C), pages 53-57.
- Goodness C. Aye & Hector Carcel & Luis A. Gil-Alana & Rangan Gupta, 2017. "Does Gold Act as a Hedge against Inflation in the UK? Evidence from a Fractional Cointegration Approach Over 1257 to 2016," Working Papers 201753, University of Pretoria, Department of Economics.
- de Truchis, Gilles, 2013.
"Approximate Whittle analysis of fractional cointegration and the stock market synchronization issue,"
Economic Modelling, Elsevier, vol. 34(C), pages 98-105.
- Gilles de Truchis, 2012. "Approximate Whittle Analysis of Fractional Cointegration and the Stock Market Synchronization Issue," Working Papers halshs-00793220, HAL.
- Gilles de Truchis, 2012. "Approximate Whittle Analysis of Fractional Cointegration and the Stock Market Synchronization Issue," AMSE Working Papers 1220, Aix-Marseille School of Economics, France.
- Gilles De Truchis, 2013. "Approximate Whittle analysis of fractional cointegration and the stock market synchronization issue," Post-Print hal-01498262, HAL.
- Johansen, Søren & Nielsen, Morten Ørregaard, 2010.
"Likelihood inference for a nonstationary fractional autoregressive model,"
Journal of Econometrics, Elsevier, vol. 158(1), pages 51-66, September.
- Søren Johansen & Morten Ørregaard Nielsen, 2007. "Likelihood inference for a nonstationary fractional autoregressive model," CREATES Research Papers 2007-33, Department of Economics and Business Economics, Aarhus University.
- Morten Ø. Nielsen & S Johansen, 2009. "Likelihood Inference For A Nonstationary Fractional Autoregressive Model," Working Paper 1172, Economics Department, Queen's University.
- Søren Johansen & Morten Ørregaard Nielsen, 2007. "Likelihood Inference for a Nonstationary Fractional Autoregressive Model," Discussion Papers 07-27, University of Copenhagen. Department of Economics.
- Avarucci, Marco & Velasco, Carlos, 2009.
"A Wald test for the cointegration rank in nonstationary fractional systems,"
Journal of Econometrics, Elsevier, vol. 151(2), pages 178-189, August.
- Avarucci, M. & Velasco, C., 2008. "A wald test for the cointegration rank in nonstationary fractional systems," Research Memorandum 049, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Nielsen, Morten Orregaard & Shimotsu, Katsumi, 2007.
"Determining the cointegrating rank in nonstationary fractional systems by the exact local Whittle approach,"
Journal of Econometrics, Elsevier, vol. 141(2), pages 574-596, December.
- Morten Ø. Nielsen & Katsumi Shimotsu, 2006. "Determining The Cointegrating Rank In Nonstationary Fractional Systems By The Exact Local Whittle Approach," Working Paper 1029, Economics Department, Queen's University.
- Guglielmo Maria Caporale & Luis A. Gil-Alana & Alex Plastun, 2017.
"Long Memory and Data Frequency in Financial Markets,"
CESifo Working Paper Series
6396, CESifo.
- Guglielmo Maria Caporale & Luis A. Gil-Alana & Alex Plastun, 2017. "Long Memory and Data Frequency in Financial Markets," Discussion Papers of DIW Berlin 1647, DIW Berlin, German Institute for Economic Research.
More about this item
Keywords
Deterministic components;JEL classification:
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
- O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
NEP fields
This paper has been announced in the following NEP Reports:- NEP-ECM-2007-09-24 (Econometrics)
- NEP-ETS-2007-09-24 (Econometric Time Series)
- NEP-MAC-2007-09-24 (Macroeconomics)
Statistics
Access and download statisticsCorrections
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:cte:werepe:we20070625. 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: Ana Poveda (email available below). General contact details of provider: http://www.eco.uc3m.es/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.