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Interpreting Spectral Analyses in Terms of Time-Domain Models

In: Annals of Economic and Social Measurement, Volume 5, number 1

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  • Robert F. Engle

Abstract

This paper derives relationships between frequency-domain and standard time-domain distributed-lag and autoregessive moving-average models. These relations are well known in the literature but are presented here in a pedogogic form in order to facilitate interpretation of spectral and cross-spectral analyses. In addition, the paper employs the conventions and discusses the estimation procedures used in TROLL. Some aspects of these estimation procedures are new and have not been discussed in the literature.
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Suggested Citation

  • Robert F. Engle, 1976. "Interpreting Spectral Analyses in Terms of Time-Domain Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 1, pages 89-109, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberch:10429
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    Cited by:

    1. Luís Aguiar-Conraria & Maria Joana Soares & Rita Sousa, 2017. "California´s Carbon Market and Energy Prices: A Wavelet Analysis," NIPE Working Papers 13/2017, NIPE - Universidade do Minho.
    2. Le, Thanh Ha, 2022. "Connectedness between nonrenewable and renewable energy consumption, economic growth and CO2 emission in Vietnam: New evidence from a wavelet analysis," Renewable Energy, Elsevier, vol. 195(C), pages 442-454.
    3. Eirini Ozouni & Constantinos Katrakylidis & Grigoris Zarotiadis, 2015. "Investigating the Long Cycles of Capitalism With Spectral and Cross-Spectral Analysis," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 13(1), pages 7-30.
    4. Aguiar-Conraria, Luís & Martins, Manuel M.F. & Soares, Maria Joana, 2020. "Okun’s Law across time and frequencies," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    5. Various, 1975. "Staff Reports on Research Under Way," NBER Chapters, in: Understanding Economic Change, pages 9-120, National Bureau of Economic Research, Inc.
    6. Aguiar-Conraria, Luis & Martins, Manuel M.F. & Soares, Maria Joana, 2018. "Estimating the Taylor rule in the time-frequency domain," Journal of Macroeconomics, Elsevier, vol. 57(C), pages 122-137.

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