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A Berry-Esséen Theorem for Serial Rank Statistics

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  • Marc Hallin
  • Khalid Rifi

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  • 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.
  • Handle: RePEc:spr:aistmt:v:49:y:1997:i:4:p:777-799
    DOI: 10.1023/A:1003286814679
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    References listed on IDEAS

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    1. Marc Hallin & Madan Lal Puri, 1994. "Aligned rank tests for linear models with autocorrelated errors," ULB Institutional Repository 2013/2045, ULB -- Universite Libre de Bruxelles.
    2. Marc. Hallin & Jean‐François Ingenbleek & Madan L. Puri, 1987. "Linear And Quadratic Serial Rank Tests For Randomness Against Serial Dependence," Journal of Time Series Analysis, Wiley Blackwell, vol. 8(4), pages 409-424, July.
    3. Marc Hallin, 1994. "On the Pitman nonadmissibility of correlogram-based time series methods," ULB Institutional Repository 2013/2049, ULB -- Universite Libre de Bruxelles.
    4. Marc Hallin & Catherine Vermandele, 1996. "A simple proof of asymptotic normality for simple serial rank statistics," ULB Institutional Repository 2013/2155, ULB -- Universite Libre de Bruxelles.
    5. Marc Hallin & Jean-François Ingenbleek & Madan Lal Puri, 1984. "Linear serial rank tests for randomness against ARMA alternatives," ULB Institutional Repository 2013/2167, ULB -- Universite Libre de Bruxelles.
    6. Marc Hallin & Khalid Rifi, 1995. "Comportement asymptotique de la moyenne et de la variance d'une statistique de rangs sérielle simple," ULB Institutional Repository 2013/2265, ULB -- Universite Libre de Bruxelles.
    7. Marc Hallin & Madan Lal Puri, 1992. "Rank tests for time-series analysis: a survey," ULB Institutional Repository 2013/2229, ULB -- Universite Libre de Bruxelles.
    8. Hallin, M. & Puri, M. L., 1994. "Aligned Rank Tests for Linear Models with Autocorrelated Error Terms," Journal of Multivariate Analysis, Elsevier, vol. 50(2), pages 175-237, August.
    9. Marc Hallin & Khalid Rifi, 1996. "The asymptotic behavior of the characteristic function of simple serial rank statistics," ULB Institutional Repository 2013/2059, ULB -- Universite Libre de Bruxelles.
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    Cited by:

    1. M'hammed Kadri & Khalid Rifi, 2002. "Asymptotic Bound on the Characteristic Function of Signed Linear Serial Rank Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 391-403, June.

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