IDEAS home Printed from https://ideas.repec.org/p/fip/fedlwp/1984-002.html
   My bibliography  Save this paper

A note on the relative efficiency of the Cochrane-Orcutt and OLS estimators when the autocorrelation process has a finite past

Author

Listed:
  • Daniel L. Thornton

Abstract

This note shows that the ordinary least squares estimator of a first-order autoregressive model is always more efficient relative to the Cochrane-Orcutt estimator if the autocorrelation process has a finite past than if its past is infinite. This result cast doubt on the usual suggestion that it might be better to delete the initial observation rather than weight it if the autocorrelation process has a finite past.

Suggested Citation

  • Daniel L. Thornton, 1984. "A note on the relative efficiency of the Cochrane-Orcutt and OLS estimators when the autocorrelation process has a finite past," Working Papers 1984-002, Federal Reserve Bank of St. Louis.
    • Handle: RePEc:fip:fedlwp:1984-002
    as

    Download full text from publisher

    File URL: http://research.stlouisfed.org/wp/1984/1984-002.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chipman, John S, 1979. "Efficiency of Least-Squares Estimation of Linear Trend when Residuals are Autocorrelated," Econometrica, Econometric Society, vol. 47(1), pages 115-128, January.
    2. Fomby, Thomas B. & Guilkey, David K., 1983. "An examination of two-step estimators for models with lagged dependent variables and autocorrelated errors," Journal of Econometrics, Elsevier, vol. 22(3), pages 291-300, August.
    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. Wang Shin-Huei & Hafner Christian, 2011. "Estimating Autocorrelations in the Presence of Deterministic Trends," Journal of Time Series Econometrics, De Gruyter, vol. 3(2), pages 1-25, April.
    2. Chihwa Kao & Jamie Emerson, 1998. "On the Estimation of a Linear Time Trend Regression with a One- Way Error Component Model in the Presence of Serially Correlated Errors," Econometrics 9805004, University Library of Munich, Germany.
    3. Kramer, Walter & Hassler, Uwe, 1998. "Limiting efficiency of OLS vs. GLS when regressors are fractionally integrated," Economics Letters, Elsevier, vol. 60(3), pages 285-290, September.
    4. Xiao, Zhijie, 2004. "Estimating average economic growth in time series data with persistency," Journal of Macroeconomics, Elsevier, vol. 26(4), pages 699-724, December.
    5. Jeske, Roland & Butefisch, Thomas & Song, Seuck Heun, 1996. "The efficiency of the sample mean in a linear regression model when errors follow a first-order moving average process," Economics Letters, Elsevier, vol. 52(3), pages 235-240, September.
    6. Dedi Rosadi & Shelton Peiris, 2014. "Second-order least-squares estimation for regression models with autocorrelated errors," Computational Statistics, Springer, vol. 29(5), pages 931-943, October.
    7. Kramer, Walter & Michels, Sonja, 1997. "Autocorrelation- and heteroskedasticity-consistent t-values with trending data," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 141-147.
    8. Fried, Roland & Gather, Ursula, 2004. "Robust Trend Estimation for AR(1) Disturbances," Technical Reports 2004,64, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    9. Roland Jeske & Seuck Song, 2003. "Relative efficiency of OLSE and COTE for seasonal autoregressive disturbances," Statistical Papers, Springer, vol. 44(3), pages 421-432, July.
    10. Galip Altinay, 2003. "Estimating growth rate in the presence of serially correlated errors," Applied Economics Letters, Taylor & Francis Journals, vol. 10(15), pages 967-970.
    11. Kramer, Walter & Baltagi, Badi, 1996. "A general condition for an optimal limiting efficiency of OLS in the general linear regression model," Economics Letters, Elsevier, vol. 50(1), pages 13-17, January.
    12. Valentina Meliciani & Franco Peracchi, 2009. "Convergence in per-capita GDP across European regions: a reappraisal," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 203-222, Springer.
    13. Galip Altinay, 2004. "On measuring average growth rate," Applied Economics, Taylor & Francis Journals, vol. 36(6), pages 637-644.

    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:fip:fedlwp:1984-002. 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: Anna Oates (email available below). General contact details of provider: https://edirc.repec.org/data/frbslus.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.