IDEAS home Printed from https://ideas.repec.org/p/fip/feddgw/87964.html
   My bibliography  Save this paper

exuber: Recursive Right-Tailed Unit Root Testing with R

Author

Abstract

This paper introduces the R package exuber for testing and date-stamping periods of mildly explosive dynamics (exuberance) in time series. The package computes test statistics for the supremum ADF test (SADF) of Phillips, Wu and Yu (2011), the generalized SADF (GSADF) of Phillips, Shi and Yu (2015a,b), and the panel GSADF proposed by Pavlidis, Yusupova, Paya, Peel, Martínez-García, Mack and Grossman (2016); generates finite-sample critical values based on Monte Carlo and bootstrap methods; and implements the corresponding date-stamping procedures. The recursive least-squares algorithm that we introduce in our implementation of these techniques utilizes the matrix inversion lemma and in that way achieves significant speed improvements. We illustrate the speed gains in a simulation experiment, and provide illustrations of the package using artificial series and a panel on international house prices.

Suggested Citation

  • Enrique Martínez García & Efthymios Pavlidis & Kostas Vasilopoulos, 2020. "exuber: Recursive Right-Tailed Unit Root Testing with R," Globalization Institute Working Papers 383, Federal Reserve Bank of Dallas, revised 19 Oct 2021.
    • Handle: RePEc:fip:feddgw:87964
    DOI: 10.24149/gwp383r1
    as

    Download full text from publisher

    File URL: https://www.dallasfed.org/~/media/documents/institute/wpapers/2020/0383r1.pdf
    File Function: Full text
    Download Restriction: no
    File URL: https://libkey.io/10.24149/gwp383r1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Pavlidis, Efthymios & Martínez-García, Enrique & Grossman, Valerie, 2019. "Detecting periods of exuberance: A look at the role of aggregation with an application to house prices," Economic Modelling, Elsevier, vol. 80(C), pages 87-102.
    2. Peter C. B. Phillips & Yangru Wu & Jun Yu, 2011. "EXPLOSIVE BEHAVIOR IN THE 1990s NASDAQ: WHEN DID EXUBERANCE ESCALATE ASSET VALUES?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(1), pages 201-226, February.
    3. Ryan Greenaway‐McGrevy & Arthur Grimes & Mark Holmes, 2019. "Two countries, sixteen cities, five thousand kilometres: How many housing markets?," Papers in Regional Science, Wiley Blackwell, vol. 98(1), pages 353-370, February.
    4. Chang, Yoosoon, 2004. "Bootstrap unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 120(2), pages 263-293, June.
    5. Maddala, G S & Wu, Shaowen, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-652, Special I.
    6. Alok Bhargava, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 369-384.
    7. Eddelbuettel, Dirk & Sanderson, Conrad, 2014. "RcppArmadillo: Accelerating R with high-performance C++ linear algebra," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 1054-1063.
    8. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
    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. Janusz Sobieraj & Dominik Metelski, 2021. "Testing Housing Markets for Episodes of Exuberance: Evidence from Different Polish Cities," JRFM, MDPI, vol. 14(9), pages 1-29, September.

    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. Efthymios Pavlidis & Alisa Yusupova & Ivan Paya & David Peel & Enrique Martínez-García & Adrienne Mack & Valerie Grossman, 2016. "Episodes of Exuberance in Housing Markets: In Search of the Smoking Gun," The Journal of Real Estate Finance and Economics, Springer, vol. 53(4), pages 419-449, November.
    2. Pavlidis, Efthymios G. & Vasilopoulos, Kostas, 2020. "Speculative bubbles in segmented markets: Evidence from Chinese cross-listed stocks," Journal of International Money and Finance, Elsevier, vol. 109(C).
    3. Sarah Meyer & Mark Trede, 2016. "Explosive earnings dynamics: Whoever has will be given more," CQE Working Papers 4716, Center for Quantitative Economics (CQE), University of Muenster.
    4. Das, Samarjit & Bhattacharya, Kaushik, 2004. "Price Convergence across Regions in India," Bonn Econ Discussion Papers 1/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
    5. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2011. "Cross-sectional dependence robust block bootstrap panel unit root tests," Journal of Econometrics, Elsevier, vol. 163(1), pages 85-104, July.
    6. Abadir, Karim M. & Distaso, Walter, 2007. "Testing joint hypotheses when one of the alternatives is one-sided," Journal of Econometrics, Elsevier, vol. 140(2), pages 695-718, October.
    7. In Choi, 2019. "Unit Root Tests for Dependent Micropanels," The Japanese Economic Review, Springer, vol. 70(2), pages 145-167, June.
    8. Campo Robledo, Jacobo, 2011. "Sostenibilidad fiscal: una aproximación con datos panel para 8 países Latinoaméricanos [Fiscal sustainability: A data panel approach for eight Latin American countries]," MPRA Paper 33091, University Library of Munich, Germany.
    9. Christoph Hanck, 2013. "An Intersection Test for Panel Unit Roots," Econometric Reviews, Taylor & Francis Journals, vol. 32(2), pages 183-203, February.
    10. Janusz Sobieraj & Dominik Metelski, 2021. "Testing Housing Markets for Episodes of Exuberance: Evidence from Different Polish Cities," JRFM, MDPI, vol. 14(9), pages 1-29, September.
    11. Ana Iregui & Jesús Otero, 2011. "Testing the law of one price in food markets: evidence for Colombia using disaggregated data," Empirical Economics, Springer, vol. 40(2), pages 269-284, April.
    12. Valérie Mignon & Christophe Hurlin, 2005. "Une synthèse des tests de racine unitaire sur données de panel," Économie et Prévision, Programme National Persée, vol. 169(3), pages 253-294.
    13. Fr餩ric Laurin, 2012. "Trade and regional growth in Spain: panel cointegration in a small sample," Applied Economics, Taylor & Francis Journals, vol. 44(4), pages 435-447, February.
    14. Holmes, Mark J. & Otero, Jesús & Panagiotidis, Theodore, 2011. "Real interest parity: A note on Asian countries using panel stationarity tests," Journal of Asian Economics, Elsevier, vol. 22(6), pages 550-557.
    15. David Greasley & Les Oxley, 2010. "Cliometrics And Time Series Econometrics: Some Theory And Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 24(5), pages 970-1042, December.
    16. Giulietti, Monica & Otero, Jesus & Smith, Jeremy, 2006. "Testing for stationarity in heterogeneous panel data in the presence of cross section dependence," Economic Research Papers 269651, University of Warwick - Department of Economics.
    17. Pedroni, Peter L. & Vogelsang, Timothy J. & Wagner, Martin & Westerlund, Joakim, 2015. "Nonparametric rank tests for non-stationary panels," Journal of Econometrics, Elsevier, vol. 185(2), pages 378-391.
    18. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    19. Vikas Kakkar & Isabel Yan, 2012. "Real Exchange Rates and Productivity: Evidence from Asia," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44, pages 301-322, March.
    20. Damette, Olivier & Seghir, Majda, 2013. "Energy as a driver of growth in oil exporting countries?," Energy Economics, Elsevier, vol. 37(C), pages 193-199.

    More about this item

    Keywords

    Mildly explosive time series; Right-tailed unit root tests; R;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software

    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:feddgw:87964. 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: Amy Chapman (email available below). General contact details of provider: https://edirc.repec.org/data/frbdaus.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.