2002
DOI: 10.1198/016214502760047087
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An Exact Multivariate Model-Based Structural Decomposition

Abstract: We describe a simple procedure for decomposing a vector oftime series into trend, cycle, seasanal and irregular components. Contrary to corumon practice, we do nol assume these components to be orthogonal conditional on their past. However, tbe state-space representation employed assures that their smoothed estimates converge to exact vaIues, with null variances and covariances. Among ather implications, this means that the components are n01 revised when the sample ¡nereases. The practica! application of the … Show more

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Cited by 28 publications
(18 citation statements)
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“…In order to account for seasonality in the DMI, we employed a state-space structural decomposition approach using MATLAB software. By so doing, a time series of DMI is decomposed into seasonal, cyclical and irregular components (Casals et al 2002). As we were interested in inter-annual variability, we used only the trend-cycle component in the correlation, regression, and wavelet analyses.…”
Section: Longitudinal Gravitational Centre Of the Long-term Fishery Datamentioning
confidence: 99%
“…In order to account for seasonality in the DMI, we employed a state-space structural decomposition approach using MATLAB software. By so doing, a time series of DMI is decomposed into seasonal, cyclical and irregular components (Casals et al 2002). As we were interested in inter-annual variability, we used only the trend-cycle component in the correlation, regression, and wavelet analyses.…”
Section: Longitudinal Gravitational Centre Of the Long-term Fishery Datamentioning
confidence: 99%
“…4). Seasonal adjustment is a common practice in time series analysis to avoid strong seasonality masking other important signals (Casals et al. , 2002).…”
Section: Methodsmentioning
confidence: 99%
“…These formulations were discussed by Anderson and Moore (1979) and more recently by Durbin and Koopman (2001, sec. 4.2.4) and Casals, Jerez, and Sotoca (2002).…”
Section: Unobserved Components Models With Commonmentioning
confidence: 97%