IDEAS home Printed from https://ideas.repec.org/p/cte/wsrepe/10132.html
   My bibliography  Save this paper

Spectral density estimators at frequency zero for nonstationarity tests in arma models

Author

Listed:
  • Sánchez, Ismael

Abstract

In order to apply unit root and cointegration tests to ARMA models it is often required an estimate of the spectral density function at frequency zero. Commonly used are nonparametric estimators and the auto regressive spectral density estimator. It is well known, however, that these estimators can provoke important size and power problems, especially in presence of moving average components. This article proposes estimators based on the estimation of an ARMA model. A Monte Carlo experiment shows that the proposed procedures yields tests with better properties than competing procedures.

Suggested Citation

  • Sánchez, Ismael, 2000. "Spectral density estimators at frequency zero for nonstationarity tests in arma models," DES - Working Papers. Statistics and Econometrics. WS 10132, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:10132
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/bitstream/handle/10016/10132/ws0081.pdf?sequence=1
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pierre Perron & Serena Ng, 1996. "Useful Modifications to some Unit Root Tests with Dependent Errors and their Local Asymptotic Properties," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 435-463.
    2. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    3. Elliott, Graham, 1999. "Efficient Tests for a Unit Root When the Initial Observation Is Drawn from Its Unconditional Distribution," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(3), pages 767-783, August.
    4. Perron, Pierre & Ng, Serena, 1998. "An Autoregressive Spectral Density Estimator At Frequency Zero For Nonstationarity Tests," Econometric Theory, Cambridge University Press, vol. 14(5), pages 560-603, October.
    5. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    6. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    7. Dong Wan Shin & Wayne Fuller, 1998. "Unit Root Tests Based on Unconditional Maximum Likelihood Estimation for the Autoregressive Moving Average," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(5), pages 591-599, September.
    8. 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.
    9. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    10. Sánchez, Ismael, 2000. "Efficient tests for unit roots with prediction errors," DES - Working Papers. Statistics and Econometrics. WS 10113, Universidad Carlos III de Madrid. Departamento de Estadística.
    11. Pantula, Sastry G & Gonzalez-Farias, Graciela & Fuller, Wayne A, 1994. "A Comparison of Unit-Root Test Criteria," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 449-459, October.
    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. Ismael Sánchez, 2004. "Implementing unit roost tests in ARMA models of unknow order," Statistical Papers, Springer, vol. 45(2), pages 249-266, April.
    2. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    3. Vicente Esteve, 2004. "Política fiscal y productividad del trabajo en la economía española: un análisis de series temporales," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 19(1), pages 3-29, June.
    4. Mentz, Markus & Sebastian, Steffen P., 2003. "Inflation convergence after the introduction of the Euro," CFS Working Paper Series 2003/30, Center for Financial Studies (CFS).
    5. Helmut Herwartz & Florian Siedenburg, 2010. "A New Approach to Unit Root Testing," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 365-384, December.
    6. Cavaliere, Giuseppe & Taylor, A.M. Robert, 2007. "Testing for unit roots in time series models with non-stationary volatility," Journal of Econometrics, Elsevier, vol. 140(2), pages 919-947, October.
    7. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    8. Vicente Esteve & Juan Sanchis, "undated". "Estimating the substitutability between private and public consumption: the case of Spain, 1960- 2001," Studies on the Spanish Economy 161, FEDEA.
    9. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2006. "Is the budget deficit sustainable when fiscal policy is non-linear? The case of Spain," Journal of Macroeconomics, Elsevier, vol. 28(3), pages 596-608, September.
    10. Vicente Esteve & Juan Sanchis-Llopis, 2005. "Estimating the substitutability between private and public consumption: the case of Spain, 1960-2003," Applied Economics, Taylor & Francis Journals, vol. 37(20), pages 2327-2334.
    11. Gabriel Rodriguez & Pierre Perron, 2013. "Single-equation tests for Cointegration with GLS Detrended Data," Boston University - Department of Economics - Working Papers Series 2013-016, Boston University - Department of Economics.
    12. Dionisio Ramirez & Gabriel Rodr¨ªguez, 2014. "Do Labor Reforms in Spain Have an Effect on the Equilibrium Unemployment Rate?," International Journal of Social Science Studies, Redfame publishing, vol. 2(1), pages 105-120, January.
    13. Xin Huang, 2019. "Persistence of Bank Credit Default Swap Spreads," Risks, MDPI, vol. 7(3), pages 1-13, August.
    14. Isabel Cortés-Jiménez & Manuel Artís, 2005. "The role of the tourism sector in economic development - Lessons from the Spanish experience," ERSA conference papers ersa05p488, European Regional Science Association.
    15. Eleni Constantinou & Robert Georgiades & Avo Kazandjian & George Kouretas, 2005. "Mean and variance causality between the Cyprus Stock Exchange and major equity markets," Working Papers 0501, University of Crete, Department of Economics.
    16. Eleni Constantinou & Avo Kazandjian & Georgios P. Kouretas & Vera Tahmazian, 2008. "Common Stochastic Trends Among The Cyprus Stock Exchange And The Ase, Lse And Nyse," Bulletin of Economic Research, Wiley Blackwell, vol. 60(4), pages 327-349, October.
    17. Michael Jansson & Marcelo J. Moreira, 2006. "Optimal Inference in Regression Models with Nearly Integrated Regressors," Econometrica, Econometric Society, vol. 74(3), pages 681-714, May.
    18. Stephen Leybourne & Tae‐Hwan Kim & Paul Newbold, 2005. "Examination of Some More Powerful Modifications of the Dickey–Fuller Test," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(3), pages 355-369, May.
    19. Hirukawa, Masayuki, 2023. "Robust Covariance Matrix Estimation in Time Series: A Review," Econometrics and Statistics, Elsevier, vol. 27(C), pages 36-61.
    20. Vicente Esteve & Francisco Requena, 2006. "A Cointegration Analysis of Car Advertising and Sales Data in the Presence of Structural Change," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 13(1), pages 111-128.

    More about this item

    Keywords

    Autoregressive moving average;

    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:cte:wsrepe:10132. 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://portal.uc3m.es/portal/page/portal/dpto_estadistica .

    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.