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Estimating the rank of the spectral density matrix

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  • Camba-Méndez, Gonzalo
  • Kapetanios, George
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    Abstract

    The rank of the spectral density matrix conveys relevant information in a variety of statistical modelling scenarios. This note shows how to estimate the rank of the spectral density matrix at any given frequency. The method presented is valid for any hermitian positive de?nite matrix estimate that has a normal asymptotic distribution with a covariance matrix whose rank is known. JEL Classification: C12, C32, C52

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    Bibliographic Info

    Paper provided by European Central Bank in its series Working Paper Series with number 0349.

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    Date of creation: Apr 2004
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    Handle: RePEc:ecb:ecbwps:20040349

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    Keywords: Spectral Density Matrix; Tests of Rank;

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    1. Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
    2. Phillips, P. C. B. & Ouliaris, S., 1988. "Testing for cointegration using principal components methods," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 205-230.
    3. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
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