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Econometrics Paper
Seasonal and Cyclical Long Memory - (Now published in S Ghosh (ed): 'Asymptotics, Nonparametrics and Time Series: A Tribute to Madam Lal Puri (Marcel Decker, 1999), pp.115-145.)
Josu Artech and Peter M Robinson September 1998
Paper No' EM/1998/360:
Full Paper (pdf)

Tags: long memory; seasonal time series; cyclic time series

There has recently been great interest in time series with long memory, namely series whose dependence decays slowly in the sense that autocovariances are not summable and the spectral density is unbounded. This concept has been extended to SCLM (Seasonal/Cyclical Long Memory) where the dependence between seasonal or cyclic observations decays similarly slowly. We discuss issues related to SCLM processes such as modelling, estimation, statistical inference, applications and extensions.