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On the Pitman nonadmissibility of correlogram-based time series methods

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  • Marc Hallin

Abstract

A classical result of Chernoff and Savage (Asymptotic normality and efficiency of certain nonparametric tests. Ann. Math. Statist. 29 (1958), 972–94) on lower bounds for the local asymptotic power of normal-score rank tests, and the resulting Pitman non-admissibility of classical Gaussian testing procedures in general linear models with independent observations, are shown to hold also for linear autoregressive moving-average time series models. The Pitman non-admissibility of usual correlogram-based methods follows.

Suggested Citation

  • Marc Hallin, 1994. "On the Pitman nonadmissibility of correlogram-based time series methods," ULB Institutional Repository 2013/2049, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:ulb:ulbeco:2013/2049
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    Citations

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    Cited by:

    1. Eustasio Del Barrio & Alberto Gonzalez-Sanz & Marc Hallin, 2019. "A Note on the Regularity of Center-Outward Distribution and Quantile Functions," Working Papers ECARES 2019-33, ULB -- Universite Libre de Bruxelles.
    2. Hallin, Marc & La Vecchia, Davide, 2020. "A Simple R-estimation method for semiparametric duration models," Journal of Econometrics, Elsevier, vol. 218(2), pages 736-749.
    3. Paindaveine, Davy, 2006. "A Chernoff-Savage result for shape:On the non-admissibility of pseudo-Gaussian methods," Journal of Multivariate Analysis, Elsevier, vol. 97(10), pages 2206-2220, November.
    4. Hannu Oja & Davy Paindaveine & Sara Taskinen, 2009. "Parametric and nonparametric test for multivariate independence in IC models," Working Papers ECARES 2009_018, ULB -- Universite Libre de Bruxelles.
    5. Marc Hallin & Bas Werker, 2003. "Semiparametric efficiency, distribution-freeness, and invariance," ULB Institutional Repository 2013/2119, ULB -- Universite Libre de Bruxelles.
    6. Hallin, Marc & La Vecchia, Davide, 2017. "R-estimation in semiparametric dynamic location-scale models," Journal of Econometrics, Elsevier, vol. 196(2), pages 233-247.
    7. Marc Hallin & Yvik Swan & Thomas Verdebout, 2013. "A Serial Version of Hodges and Lehmann's "6/pi Result"," Working Papers ECARES ECARES 2013-17, ULB -- Universite Libre de Bruxelles.
    8. Garel, Bernard & Hallin, Marc, 2000. "Rank-based partial autocorrelations are not asymptotically distribution-free," Statistics & Probability Letters, Elsevier, vol. 47(3), pages 219-227, April.
    9. Marc Hallin & Khalid Rifi, 1997. "A Berry-Esséen Theorem for Serial Rank Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(4), pages 777-799, December.
    10. Marc Hallin & Davide La Vecchia, 2014. "Semiparametrically Efficient R-Estimation for Dynamic Location-Scale Models," Working Papers ECARES ECARES 2014-45, ULB -- Universite Libre de Bruxelles.
    11. del Barrio, Eustasio & González-Sanz, Alberto & Hallin, Marc, 2020. "A note on the regularity of optimal-transport-based center-outward distribution and quantile functions," Journal of Multivariate Analysis, Elsevier, vol. 180(C).
    12. Allal, Jelloul & Kaaouachi, Abdelali & Paindaveine, Davy, 2001. "R-estimation for ARMA models," MPRA Paper 21167, University Library of Munich, Germany.

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