IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/852.html
   My bibliography  Save this paper

Multiple Regression with Integrated Time Series

Author

Abstract

Recent work on the theory of regression with integrated process is reviewed. This work is particularly relevant in economics where many financial series and macroeconomic time series exhibit nonstationary characteristics and are often well modeled individually as simple ARIMA processes. The theory makes extensive use of weak convergence methods and allows for integrated processes that are driven by quite general weakly dependent and possibly heterogeneously distributed innovations. The theory also includes near integrated time series, which have roots near unity, and cointegrated series, which move together over time but are individually nonstationary. A general framework for asymptotic analysis is given which involves limiting Gaussian functionals and extends the LAN and LAMN families of conventional asymptotic theory. An application to the Gaussian AR(1) is reported.

Suggested Citation

  • Peter C.B. Phillips, 1987. "Multiple Regression with Integrated Time Series," Cowles Foundation Discussion Papers 852, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:852
    Note: CFP 720.
    as

    Download full text from publisher

    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d08/d0852.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Campbell, John Y & Mankiw, N Gregory, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 111-117, May.
    2. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, 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. Isaiah Andrews & Anna Mikusheva, 2016. "Conditional Inference With a Functional Nuisance Parameter," Econometrica, Econometric Society, vol. 84, pages 1571-1612, July.
    2. Vipin Arora & Shuping Shi, 2016. "Nonlinearities and tests of asset price bubbles," Empirical Economics, Springer, vol. 50(4), pages 1421-1433, June.
    3. Andros Gregoriou & Christos Ioannidis, 2007. "Generalized method of moments and present value tests of the consumption-capital asset pricing model under transactions costs: evidence from the UK stock market," Empirical Economics, Springer, vol. 32(1), pages 19-39, April.
    4. Park, Donghyun & Xiao, Qin, 2009. "Housing Prices and the Role of Speculation: The Case of Seoul," ADB Economics Working Paper Series 146, Asian Development Bank.
    5. David G. McMillan, 2010. "Present Value Model, Bubbles and Returns Predictability: Sector‐Level Evidence," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 37(5‐6), pages 668-686, June.
    6. Evans, Martin, 2013. "Global Imbalances, Risk, and the Great Recession," MPRA Paper 52363, University Library of Munich, Germany.
    7. Vicente Esteve & Manuel Navarro-Ibáñez & María A. Prats, 2013. "The present value model of US stock prices revisited: long-run evidence with structural breaks, 1871-2010," Working Papers 04/13, Instituto Universitario de Análisis Económico y Social.
    8. Alberto Fuertes, 2022. "External adjustment with a common currency: the case of the euro area," Empirical Economics, Springer, vol. 62(5), pages 2205-2238, May.
    9. Salman Huseynov, 2021. "Long and short memory in dynamic term structure models," CREATES Research Papers 2021-15, Department of Economics and Business Economics, Aarhus University.
    10. Philip Arestis Author-Email: pa267@cam.ac.uk & Ana Rosa Gonzalez-Martinez, 2017. "Housing Market in Israel: Is there a Bubble?," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 64(1), pages 1-16, December.
    11. Qizilbash, M., 1995. "Egalitarian justice, capability and well-being prospects," Discussion Paper Series In Economics And Econometrics 9516, Economics Division, School of Social Sciences, University of Southampton.
    12. Evans, Martin D.D., 2014. "External balances, trade flows and financial conditions," Journal of International Money and Finance, Elsevier, vol. 48(PB), pages 271-290.
    13. Ayla Ogus & Niloufer Sohrabji, 2008. "On the optimality and sustainability of Turkey’s current account," Empirical Economics, Springer, vol. 35(3), pages 543-568, November.
    14. Tzavalis, Elias & Wickens, Michael, 1998. "A Re-examination of the Rational Expectations Hypothesis of the Term Structure: Reconciling the Evidence from Long-Run and Short-Run Tests," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(3), pages 229-239, July.
    15. Wang, Peijie & Brand, Steven, 2015. "A new approach to estimating value–income ratios with income growth and time-varying yields," European Journal of Operational Research, Elsevier, vol. 242(1), pages 182-187.
    16. Andr? Kurmann & Christopher Otrok, 2013. "News Shocks and the Slope of the Term Structure of Interest Rates," American Economic Review, American Economic Association, vol. 103(6), pages 2612-2632, October.
    17. Ilias Lekkos, 2003. "Cross‐sectional Restrictions on the Spot and Forward Term Structures of Interest Rates and Panel Unit Root Tests," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 30(5‐6), pages 799-828, June.
    18. Myroslav Pidkuyko, 2014. "Dynamics of Consumption and Dividends over the Business Cycle," CERGE-EI Working Papers wp522, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    19. Tom Engsted & Niels Haldrup & Boriss Siliverstovs, 2004. "Long-run forecasting in multicointegrated systems," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 23(5), pages 315-335.
    20. repec:zbw:bofrdp:2016_003 is not listed on IDEAS
    21. Huang, Lin & Wu, Jia & Zhang, Rui, 2014. "Exchange risk and asset returns: A theoretical and empirical study of an open economy asset pricing model," Emerging Markets Review, Elsevier, vol. 21(C), pages 96-116.

    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:cwl:cwldpp:852. 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: Brittany Ladd (email available below). General contact details of provider: https://edirc.repec.org/data/cowleus.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.