IDEAS home Printed from https://ideas.repec.org/a/bla/jtsera/v36y2015i5p630-649.html

Testing for a Unit Root in a Near-Integrated Model with Skip-Sampled Data

Author

Listed:
  • Neil Kellard
  • Denise Osborn
  • Jerry Coakley
  • Marcus J. Chambers

Abstract

type="main" xml:id="jtsa12097-abs-0001"> This article examines tests for a unit root in skip-sampled data. A generalization of the usual discrete time framework that allows for a continuous time detrending procedure prior to estimation of the resulting discrete time dynamic model that embodies exactly the restrictions imposed by the process of temporal aggregation is proposed. A simulation study reveals that taking these restrictions into account can yield improved size and power properties compared to a statistic based on a model that ignores the temporal aggregation, and an empirical illustration of the methods using monthly producer price data for the UK and the USA is provided. Further avenues for investigation in future work are also highlighted.

Suggested Citation

  • Neil Kellard & Denise Osborn & Jerry Coakley & Marcus J. Chambers, 2015. "Testing for a Unit Root in a Near-Integrated Model with Skip-Sampled Data," Journal of Time Series Analysis, Wiley Blackwell, vol. 36(5), pages 630-649, September.
    • Handle: RePEc:bla:jtsera:v:36:y:2015:i:5:p:630-649
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/jtsa.12097
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Weiss, Andrew A., 1984. "Systematic sampling and temporal aggregation in time series models," Journal of Econometrics, Elsevier, vol. 26(3), pages 271-281, December.
    2. Qiankun Zhou & Jun Yu, 2010. "Asymptotic Distributions of the Least Squares Estimator for Diffusion Processes," Working Papers 20-2010, Singapore Management University, School of Economics.
    3. McCrorie, J. Roderick, 2000. "Deriving The Exact Discrete Analog Of A Continuous Time System," Econometric Theory, Cambridge University Press, vol. 16(6), pages 998-1015, December.
    4. Michael A. Thornton & Marcus J. Chambers, 2013. "Continuous-time autoregressive moving average processes in discrete time: representation and embeddability," Journal of Time Series Analysis, Wiley Blackwell, vol. 34(5), pages 552-561, September.
    5. Chambers, Marcus J. & Thornton, Michael A., 2012. "Discrete Time Representation Of Continuous Time Arma Processes," Econometric Theory, Cambridge University Press, vol. 28(1), pages 219-238, February.
    6. 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.
    7. Marcus J. Chambers, 2015. "The Calculation of Some Limiting Distributions Arising in Near-Integrated Models with GLS Detrending," Journal of Time Series Analysis, Wiley Blackwell, vol. 36(4), pages 562-586, July.
    8. DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-433, March.
    9. Sook Fwe Yap & Gregory C. Reinsel, 1995. "Results On Estimation And Testing For A Unit Root In The Nonstationary Autoregressive Moving‐Average Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 16(3), pages 339-353, May.
    10. Perron, Pierre, 1989. "The Calculation of the Limiting Distribution of the Least-Squares Estimator in a Near-Integrated Model," Econometric Theory, Cambridge University Press, vol. 5(2), pages 241-255, August.
    11. DeJong, David N. & Nankervis, John C. & Savin, N. E. & Whiteman, Charles H., 1992. "The power problems of unit root test in time series with autoregressive errors," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 323-343.
    12. repec:esx:essedp:727 is not listed on IDEAS
    13. Phillips, P C B, 1991. "Error Correction and Long-Run Equilibrium in Continuous Time," Econometrica, Econometric Society, vol. 59(4), pages 967-980, July.
    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. Miller, J. Isaac, 2018. "Simple robust tests for the specification of high-frequency predictors of a low-frequency series," Econometrics and Statistics, Elsevier, vol. 5(C), pages 45-66.
    2. Chambers, MJ, 2016. "The Effects of Sampling Frequency on Detrending Methods for Unit Root Tests," Economics Discussion Papers 16062, University of Essex, Department of Economics.
    3. Susan Sunila Sharma & Lutzardo Tobing & Prayudhi Azwar, 2018. "Understanding Indonesia’s Macroeconomic Data: What do we Know and What are the Implications?," Bulletin of Monetary Economics and Banking, Bank Indonesia, vol. 21(2), pages 217-250, October.

    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. Chambers, MJ, 2016. "The Effects of Sampling Frequency on Detrending Methods for Unit Root Tests," Economics Discussion Papers 16062, University of Essex, Department of Economics.
    2. Zhije Xiao & Peter C.B. Phillips, 1998. "An ADF coefficient test for a unit root in ARMA models of unknown order with empirical applications to the US economy," Econometrics Journal, Royal Economic Society, vol. 1(RegularPa), pages 27-43.
    3. Michael A. Thornton & Marcus J. Chambers, 2013. "Temporal aggregation in macroeconomics," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 13, pages 289-310, Edward Elgar Publishing.
    4. Marcus J. Chambers & J. Roderick McCrorie & Michael A. Thornton, 2018. "Continuous Time Modelling Based on an Exact Discrete Time Representation," Springer Books, in: Kees van Montfort & Johan H. L. Oud & Manuel C. Voelkle (ed.), Continuous Time Modeling in the Behavioral and Related Sciences, chapter 0, pages 317-357, Springer.
    5. Jardet, Caroline & Monfort, Alain & Pegoraro, Fulvio, 2013. "No-arbitrage Near-Cointegrated VAR(p) term structure models, term premia and GDP growth," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 389-402.
    6. Masih, Abul M. M. & Masih, Rumi, 1999. "Are Asian stock market fluctuations due mainly to intra-regional contagion effects? Evidence based on Asian emerging stock markets," Pacific-Basin Finance Journal, Elsevier, vol. 7(3-4), pages 251-282, August.
    7. R. Santos Alimi, 2014. "ARDL Bounds Testing Approach to Cointegration: A Re-Examination of Augmented Fisher Hypothesis in an Open Economy," Asian Journal of Economic Modelling, Asian Economic and Social Society, vol. 2(2), pages 103-114, June.
    8. Francis Ahking, 2003. "Efficient unit root tests of real exchange rates in the post-Bretton Woods era," Economics Bulletin, AccessEcon, vol. 6(7), pages 1-12.
    9. Mamingi Nlandu, 2017. "Beauty and Ugliness of Aggregation over Time: A Survey," Review of Economics, De Gruyter, vol. 68(3), pages 205-227, December.
    10. 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.
    11. Clayton Webb & Suzanna Linn & Matthew J. Lebo, 2020. "Beyond the Unit Root Question: Uncertainty and Inference," American Journal of Political Science, John Wiley & Sons, vol. 64(2), pages 275-292, April.
    12. Muhammad, Shahbaz & V G R, Chandran & Pervaiz, Azeem, 2011. "Natural gas consumption and economic growth: cointegration, causality and forecast error variance decomposition tests for Pakistan," MPRA Paper 35103, University Library of Munich, Germany, revised 30 Nov 2011.
    13. Ibrar Hussain & Jawad Hussain & Arshad Ali & Shabir Ahmad, 2021. "A Dynamic Analysis of the Impact of Fiscal Adjustment on Economic Growth: Evidence From Pakistan," SAGE Open, , vol. 11(2), pages 21582440211, June.
    14. Paparoditis, Efstathios & Politis, Dimitris N, 2001. "Unit Root Testing via the Continuous-Path Block Bootstrap," University of California at San Diego, Economics Working Paper Series qt9qb4r775, Department of Economics, UC San Diego.
    15. Luis Alberiko Gil-Alana & Pedro Garcia-del-Barrio, 2006. "New Revelations about Unemployment Persistence in Spain," Faculty Working Papers 10/06, School of Economics and Business Administration, University of Navarra.
    16. Fasoranti, Modupe Mary & Alimi, Rasaq Santos, 2017. "Government Size, Political Institutions and Output Growth in Nigeria," MPRA Paper 80562, University Library of Munich, Germany.
    17. Esteve, Vicente & Tamarit, Cecilio, 2012. "Threshold cointegration and nonlinear adjustment between CO2 and income: The Environmental Kuznets Curve in Spain, 1857–2007," Energy Economics, Elsevier, vol. 34(6), pages 2148-2156.
    18. Ayat, Leila & Burridge, Peter, 2000. "Unit root tests in the presence of uncertainty about the non-stochastic trend," Journal of Econometrics, Elsevier, vol. 95(1), pages 71-96, March.
    19. Cheung, Yin-Wong & Chinn, Menzie D, 1997. "Further Investigation of the Uncertain Unit Root in GNP," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 68-73, January.
    20. Alimi, R. Santos, 2014. "DOLS Cointegration Vector Estimation of the Effect of Inflation and Financial Deepening on Output Growth in Nigeria," MPRA Paper 57182, University Library of Munich, Germany.

    More about this item

    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:bla:jtsera:v:36:y:2015:i:5:p:630-649. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0143-9782 .

    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.