IDEAS home Printed from https://ideas.repec.org/p/fip/fednsr/232.html
   My bibliography  Save this paper

One-sided test for an unknown breakpoint: theory, computation, and application to monetary theory

Author

Listed:
  • Arturo Estrella
  • Anthony P. Rodrigues

Abstract

The econometrics literature contains a variety of two-sided tests for unknown breakpoints in time-series models with one or more parameters. This paper derives an analogous one-sided test that takes into account the direction of the change for a single parameter. In particular, we propose a sup t statistic, which is distributed as a normalized Brownian bridge. The method is illustrated by testing whether the reaction of monetary policy to inflation has increased since 1959.

Suggested Citation

  • Arturo Estrella & Anthony P. Rodrigues, 2005. "One-sided test for an unknown breakpoint: theory, computation, and application to monetary theory," Staff Reports 232, Federal Reserve Bank of New York.
    • Handle: RePEc:fip:fednsr:232
    as

    Download full text from publisher

    File URL: https://www.newyorkfed.org/medialibrary/media/research/staff_reports/sr232.html
    Download Restriction: no
    File URL: https://www.newyorkfed.org/medialibrary/media/research/staff_reports/sr232.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    3. Ghysels, Eric & Guay, Alain & Hall, Alastair, 1998. "Predictive tests for structural change with unknown breakpoint," Journal of Econometrics, Elsevier, vol. 82(2), pages 209-233, February.
    4. Donald W. K. Andrews, 2003. "Tests for Parameter Instability and Structural Change with Unknown Change Point: A Corrigendum," Econometrica, Econometric Society, vol. 71(1), pages 395-397, January.
    5. Bai, Jushan, 1999. "Likelihood ratio tests for multiple structural changes," Journal of Econometrics, Elsevier, vol. 91(2), pages 299-323, August.
    6. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    7. Arturo Estrella & Jeffrey C. Fuhrer, 2003. "Monetary Policy Shifts and the Stability of Monetary Policy Models," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 94-104, February.
    8. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    9. Estrella, Arturo, 2003. "Critical Values And P Values Of Bessel Process Distributions: Computation And Application To Structural Break Tests," Econometric Theory, Cambridge University Press, vol. 19(6), pages 1128-1143, December.
    10. Arturo Estrella, 2005. "Why Does the Yield Curve Predict Output and Inflation?," Economic Journal, Royal Economic Society, vol. 115(505), pages 722-744, July.
    11. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    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. Linda S. Goldberg & Michael W. Klein, 2005. "Establishing Credibility: Evolving Perceptions of the European Central Bank," NBER Working Papers 11792, National Bureau of Economic Research, Inc.
    2. Sandip Sinharay, 2017. "Some Remarks on Applications of Tests for Detecting A Change Point to Psychometric Problems," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1149-1161, December.
    3. Jean-Marc Azaïs & Alan Genz, 2013. "Computation of the Distribution of the Maximum of Stationary Gaussian Processes," Methodology and Computing in Applied Probability, Springer, vol. 15(4), pages 969-985, December.

    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. Travaglini, Guido, 2007. "The U.S. Dynamic Taylor Rule With Multiple Breaks, 1984-2001," MPRA Paper 3419, University Library of Munich, Germany, revised 15 Jun 2007.
    2. Otilia Boldea & Alastair R. Hall, 2013. "Testing structural stability in macroeconometric models," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 9, pages 206-228, Edward Elgar Publishing.
    3. Chengsi Zhang & Denise R. Osborn & Dong Heon Kim, 2008. "The New Keynesian Phillips Curve: From Sticky Inflation to Sticky Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(4), pages 667-699, June.
    4. Kuikeu, Oscar, 2011. "Arguments contre la zone franc [Against the cfa franc zone]," MPRA Paper 33710, University Library of Munich, Germany.
    5. Qian, Junhui & Su, Liangjun, 2014. "Structural change estimation in time series regressions with endogenous variables," Economics Letters, Elsevier, vol. 125(3), pages 415-421.
    6. Arturo Estrella, 2005. "Why Does the Yield Curve Predict Output and Inflation?," Economic Journal, Royal Economic Society, vol. 115(505), pages 722-744, July.
    7. Zhang, Chengsi & Dang, Chao, 2018. "Is monetary policy forward-looking in China?," International Review of Economics & Finance, Elsevier, vol. 57(C), pages 4-14.
    8. Lee, Dong Jin & Son, Jong Chil, 2013. "Nonlinearity and structural breaks in monetary policy rules with stock prices," Economic Modelling, Elsevier, vol. 31(C), pages 1-11.
    9. Gagliardini, Patrick & Trojani, Fabio & Urga, Giovanni, 2005. "Robust GMM tests for structural breaks," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 139-182.
    10. Grunspan, T., 2005. "The Fed and the Question of Financial Stability: An Empirical Investigation," Working papers 134, Banque de France.
    11. Alan S. Blinder & Ricardo Reis, 2005. "Understanding the Greenspan standard," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, issue Aug, pages 11-96.
    12. Kraft, Kornelius & Lammers, Alexander, 2021. "Bargaining Power and the Labor Share - a Structural Break Approach," VfS Annual Conference 2021 (Virtual Conference): Climate Economics 242342, Verein für Socialpolitik / German Economic Association.
    13. James D. Hamilton & Seth Pruitt & Scott Borger, 2011. "Estimating the Market-Perceived Monetary Policy Rule," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 1-28, July.
    14. Matthew Davis & Fernando V. Ferreira, 2017. "Housing Disease and Public School Finances," NBER Working Papers 24140, National Bureau of Economic Research, Inc.
    15. repec:pri:cepsud:114blinderreis is not listed on IDEAS
    16. Boivin, Jean, 2006. "Has U.S. Monetary Policy Changed? Evidence from Drifting Coefficients and Real-Time Data," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(5), pages 1149-1173, August.
    17. Hervé Le Bihan, 2004. "Tests de rupture : une application au PIB tendanciel français," Economie & Prévision, La Documentation Française, vol. 163(2), pages 133-154.
    18. FIodendji, Komlan, 2011. "Should Canadian monetary policy respond to asset prices? Evidence from a structural model," MPRA Paper 28039, University Library of Munich, Germany, revised 10 Jan 2011.
    19. Kiyotaka Nakashima, 2008. "Ideal And Real Japanese Monetary Policy: A Comparative Analysis Of Actual And Optimal Policy Measures," The Japanese Economic Review, Japanese Economic Association, vol. 59(3), pages 345-369, September.
    20. Davis, Matthew & Ferreira, Fernando, 2022. "Housing disease and public school finances," Economics of Education Review, Elsevier, vol. 88(C).
    21. Joseph G. Haubrich, 2021. "Does the Yield Curve Predict Output?," Annual Review of Financial Economics, Annual Reviews, vol. 13(1), pages 341-362, November.

    More about this item

    Keywords

    time series analysis; Inflation (Finance); Monetary policy;
    All these keywords.

    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:fip:fednsr:232. 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: Gabriella Bucciarelli (email available below). General contact details of provider: https://edirc.repec.org/data/frbnyus.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.