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Second-order moments of frequency asymmetric cycles

    1. [1] Universitat d'Alacant

      Universitat d'Alacant

      Alicante, España

  • Localización: Working papers = Documentos de trabajo: Serie AD, Nº. 27, 2011, págs. 1-55
  • Idioma: inglés
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  • Resumen
    • Second-order moments, as even functions in time, are conventionally regarded as containing no information about the time irreversible nature of a sequence and therefore about its frequency asymmetry. However, this paper shows that the frequency asymmetry produces a clearly distinct behaviour in second-order moments that can be observed in both the time domain and the frequency domain. In addition, a frequency domain method of estimation of the differing lengths of the recessionary and expansionary stages of a cycle is proposed and its finite sample performance evaluated. Finally, the asymmetric patterns in the waves of the US unemployment rate and in the sunspot index are analysed.


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