The exact linkage between the Beveridge-Nelson decomposition and other permanent-transitory decompositions
AbstractThe econometric literature has recently focused attention on the relationship between the BeveridgeâNelson decomposition and unobserved components processes when decomposing time series into permanent and transitory shocks. This paper shows the existence of an algebraic linkage between reduced and structural forms parameters of some unobserved components processes. Results allow measuring how close standard unobserved components processes and unrestricted ARIMA models are regardless of the number of structural/reduced form parameters. Results are provided when the reduced forms are ARIMA(2,1,2) and ARIMA(0,2,2). For the latter, the exact relation between the HodrickâPrescott filter and the IMA(2,2) reduced form is also shown.
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Bibliographic InfoPaper provided by Association Française de Cliométrie (AFC) in its series Working Papers with number 10-09.
Length: 14 pages
Date of creation: 2010
Date of revision:
Other versions of this item:
- Sbrana, Giacomo, 2013. "The exact linkage between the Beveridge–Nelson decomposition and other permanent-transitory decompositions," Economic Modelling, Elsevier, vol. 30(C), pages 311-316.
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
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- Riccardo De Bonis & Andrea Silvestrini, 2013. "The Italian financial cycle: 1861-2011," Temi di discussione (Economic working papers) 936, Bank of Italy, Economic Research and International Relations Area.
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