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Long memory at the long run and at the cyclical frequencies: modelling real wages in England, 1260–1994

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  • Guglielmo Caporale

    ()

  • Luis Gil-Alana

Abstract

This paper examines historical data on daily real wages in England for the time period 1260-1994 by means of new statistical techniques suitable for modelling long memory both at the long run and the cyclical frequencies. Specifically, it uses a procedure due to Robinson (1994) which is based, for the cyclical component, on Gegenbauer processes. We test for the presence of unit (and fractional) roots at both the zero and the cyclical frequencies, and find that the root at the zero frequency plays a much more important role than the cyclical one, though the latter frequency also has a component of long memory behaviour. It also appears that the trending (zero frequency) component is nonstationary while the cyclical one is stationary, with shocks having permanent effects on the former, but transitory effects on the latter. Similar conclusions are reached when allowing for a break in 1875 (the beginning of the Second Industrial Revolution).

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Bibliographic Info

Article provided by Springer in its journal Empirical Economics.

Volume (Year): 31 (2006)
Issue (Month): 1 (March)
Pages: 83-93

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Handle: RePEc:spr:empeco:v:31:y:2006:i:1:p:83-93

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Keywords: Gegenbauer processes; Fractional cycles; Long memory; C22;

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Cited by:
  1. Arteche González, Jesús María & Artiach Escauriaza, Miguel Manuel, 2011. "Doubly fractional models for dynamic heteroskedastic cycles," BILTOKI 2011-03, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
  2. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Long-run and Cyclical Dynamics in the US Stock Market," Economics Series 155, Institute for Advanced Studies.
  3. Guglielmo Maria Caporale & Juncal Cunado & Luis A. Gil-Alana, 2008. "Modelling Long-Run Trends and Cycles in Financial Time Series Data," CESifo Working Paper Series 2330, CESifo Group Munich.

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