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Least-squares estimation and ANOVA for periodic autoregressive time series

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  • Shao, Q.
  • Ni, P.P.

Abstract

The periodic correlation exists throughout the whole process in a analysis of variance (ANOVA) type model where the error terms consist of a periodic autoregressive time series. This paper studies the asymptotic property of least-squares estimators and linear testable hypotheses with a modified F-test in the analysis of variance akin to periodic autoregressive series. The techniques are applied in making inference on the quarterly streamflow in Asotin, WA.

Suggested Citation

  • Shao, Q. & Ni, P.P., 2004. "Least-squares estimation and ANOVA for periodic autoregressive time series," Statistics & Probability Letters, Elsevier, vol. 69(3), pages 287-297, September.
    • Handle: RePEc:eee:stapro:v:69:y:2004:i:3:p:287-297
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    References listed on IDEAS

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    1. Robert Lund & I. V. Basawa, 2000. "Recursive Prediction and Likelihood Evaluation for Periodic ARMA Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 21(1), pages 75-93, January.
    2. I. V. Basawa & Robert Lund, 2001. "Large Sample Properties of Parameter Estimates for Periodic ARMA Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(6), pages 651-663, November.
    3. repec:bla:jtsera:v:25:y:2004:3:p:359-372 is not listed on IDEAS
    4. Qin Shao & Robert Lund, 2004. "Computation and Characterization of Autocorrelations and Partial Autocorrelations in Periodic ARMA Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(3), pages 359-372, May.
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    Cited by:

    1. Annie Tubadji & Vassilis Angelis & Peter Nijkamp, 2014. "Local culture and resistance to shocks in economic forecasts: a case study of Greece," Economics and Business Letters, Oviedo University Press, vol. 3(4), pages 298-308.
    2. Robert Lund & Gang Liu & Qin Shao, 2016. "A New Approach to ANOVA Methods for Autocorrelated Data," The American Statistician, Taylor & Francis Journals, vol. 70(1), pages 55-62, February.
    3. Sarnaglia, A.J.Q. & Reisen, V.A. & Lévy-Leduc, C., 2010. "Robust estimation of periodic autoregressive processes in the presence of additive outliers," Journal of Multivariate Analysis, Elsevier, vol. 101(9), pages 2168-2183, October.

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