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  • 标题:La stima del ciclo-trend col metodo delle funzioni sferoidali prolate
  • 作者:Mario Faliva ; Maria Grazia Zoia
  • 期刊名称:Statistica
  • 印刷版ISSN:1973-2201
  • 出版年度:1998
  • 卷号:58
  • 期号:3
  • DOI:10.6092/issn.1973-2201/1085
  • 语种:English
  • 出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
  • 摘要:This paper develops a new method of trend-cycle estimation. According to the authors' frequency-domain characterization of latent components in economic time series, trend-cycle turns out to be a band-limited signal, located within the low-middle frequency range. Hence, the aforesaid component can be represented, resting on Landau and Pollak's smart theorems, in terms of a properly chosen set of prolate spheroidal functions and, what is more, it can be detected by projecting the observed series onto the subspace of band-limited sequences spanned by such functions. The paper plainly sets forth the theoretical frame and the technicalities of the suggested novel method of trend-cycle estimation and discusses a few of its operational aspects.
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