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Inference-Without-Smoothing in the Presence of Nonparametric Autocorrelation


  • P. M. Robinson


The author gives conditions under which nonparametric autocorrelation-consistent variance estimation is possible without smoothing. The conditions are relevant to inference on slope parameters in models with an intercept and strictly exogenous regressors, and allow regressors and disturbances to collectively have considerable stationary long memory and to satisfy only mild, in some cases minimal, moment conditions. His estimate dominates smoothed ones in the sense that it can have mean squared error proportional to the reciprocal of sample size. Under standard additional regularity conditions, the author shows that the estimate can validly studentize asymptotically normal estimates of structural parameters in linear simultaneous equations systems.

Suggested Citation

  • P. M. Robinson, 1998. "Inference-Without-Smoothing in the Presence of Nonparametric Autocorrelation," Econometrica, Econometric Society, vol. 66(5), pages 1163-1182, September.
  • Handle: RePEc:ecm:emetrp:v:66:y:1998:i:5:p:1163-1182

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    Cited by:

    1. Javier Hidalgo & Myung Hwan Seo, 2012. "Testing for Structural Stability in the Whole Sample," STICERD - Econometrics Paper Series 561, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Horváth, Lajos & Husková, Marie & Kokoszka, Piotr, 2010. "Testing the stability of the functional autoregressive process," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 352-367, February.
    3. Javier Hidalgo & Myunghwan Seo, 2011. "Testing For Structural Stability In The Whole Sample," STICERD - Econometrics Paper Series 558, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    4. Heather L. R. Tierney, 2012. "Examining the ability of core inflation to capture the overall trend of total inflation," Applied Economics, Taylor & Francis Journals, vol. 44(4), pages 493-514, February.
    5. repec:cep:stiecm:/2011/558 is not listed on IDEAS
    6. Tierney, Heather L.R., 2011. "Real-time data revisions and the PCE measure of inflation," Economic Modelling, Elsevier, vol. 28(4), pages 1763-1773, July.
    7. repec:cep:stiecm:em/2011/558 is not listed on IDEAS
    8. Hidalgo, Javier & Seo, Myung Hwan, 2013. "Testing for structural stability in the whole sample," Journal of Econometrics, Elsevier, vol. 175(2), pages 84-93.
    9. Wouter J. Den Haan & Andrew T. Levin, 1995. "Inferences from parametric and non-parametric covariance matrix estimation procedures," International Finance Discussion Papers 504, Board of Governors of the Federal Reserve System (U.S.).
    10. Lazarova, Stepana, 2005. "Testing for structural change in regression with long memory processes," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 329-372.
    11. repec:cep:stiecm:em/2013/561 is not listed on IDEAS
    12. WANG, Kent & WANG, Shin-Huei & PAN, Zheyao, 2013. "Can federal reserve policy deviation explain response patterns of financial markets over time?," CORE Discussion Papers 2013029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. repec:cep:stiecm:/2013/561 is not listed on IDEAS
    14. Hidalgo, Javier, 2003. "An alternative bootstrap to moving blocks for time series regression models," Journal of Econometrics, Elsevier, vol. 117(2), pages 369-399, December.
    15. Kiefer, Nicholas M. & Vogelsang, Timothy J., 2005. "A New Asymptotic Theory For Heteroskedasticity-Autocorrelation Robust Tests," Econometric Theory, Cambridge University Press, vol. 21(06), pages 1130-1164, December.
    16. Tierney, Heather L.R., 2009. "Evaluating Exclusion-from-Core Measures of Inflation using Real-Time Data," MPRA Paper 17856, University Library of Munich, Germany.
    17. Violetta Dalla & Liudas Giraitis & Hira L. Koul, 2014. "Studentizing Weighted Sums Of Linear Processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(2), pages 151-172, March.
    18. Hidalgo, Javier & Schafgans, Marcia M. A., 2017. "Inference without smoothing for large panels with cross-sectional and temporal dependence," LSE Research Online Documents on Economics 87748, London School of Economics and Political Science, LSE Library.
    19. Javier Hidalgo & Marcia M Schafgans, 2017. "Inference Without Smoothing for Large Panels with Cross- Sectional and Temporal Dependence," STICERD - Econometrics Paper Series 597, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    20. Marmol, Francesc & Velasco, Carlos, 2002. "Trend stationarity versus long-range dependence in time series analysis," Journal of Econometrics, Elsevier, vol. 108(1), pages 25-42, May.
    21. Tsay, Wen-Jen, 2004. "Testing for contemporaneous correlation of disturbances in seemingly unrelated regressions with serial dependence," Economics Letters, Elsevier, vol. 83(1), pages 69-76, April.

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