Alternative methods of trend extraction and of seasonal adjustment are described that operate in the time domain and in the frequency domain.
The time-domain methods that are implemented in the TRAMO–SEATS and the STAMP programs are compared. An abbreviated time-domain method of seasonal adjustment that is implemented in the IDEOLOG program is also presented. Finite-sample versions of the Wiener–Kolmogorov filter are described that can be used to implement the methods in a common way.
The frequency-domain method, which is also implemented in the IDEOLOG program, employs an ideal frequency selective filter that depends on identifying the ordinates of the Fourier transform of a detrended data sequence that should lie in the pass band of the filter and those that should lie in its stop band. Filters of this nature can be used both for extracting a low-frequency cyclical component of the data and for extracting the seasonal component. 相似文献
What stories do ruins tell? What is the legacy of the extractive coal industry? When is extraction complete in a single-industry area? Tied to global capital, fuelling the Industrial Revolution on the labour immigrants, the legacy of extraction in the Anthracite Coal-Mining Region in Northeastern Pennsylvania extends into local notions of heritage, memory, community welfare, and place. Tracking (de)industrial life scenes in the Anthracite Coal-Mining Region, this ethnographic work follows traces of the past as they emerge and the day-to-day practices that sustained them noting intensities and flashpoints as they arise in daily life. As a particular flashpoint, Coal Region residents processed the demolition of the ruins of Saint Nicholas Coal Breaker, the last anthracite coal breaker built before 1960 and once the largest coal breaker in the world. Residents rapidly produced and shared digital media of the Breaker with and through a large public digital humanities collaboratory that I created and maintain through an active Facebook page (https://www.facebook.com/AnthraciteCoalRegion) of more than 8000 members and a corresponding website (http://anthracitecoalregion.com). Engaging in community dialogue, participatory communication, and offering critical interpretations, residents wrote accounts about the demolition of the Breaker including its historical and mnemonic relevance, the cultural politics surrounding it, and the ethical dimensions of its extraction from the landscape by a mining company engaged in strip-mining on the surrounding land. These connections and dislocations between situated pasts show affective intensities arising suddenly even though dominant or more official narratives may have overwhelmed them. The sanitizing of the landscape of Saint Nicholas Breaker tries to empty the physical place of the material cultural traces of mining people/mined people to re-extract more coal through strip-mining operations, thereby rendering superfluous the underground miners’ labour by removing the last sign of it - the Breaker - from the landscape. 相似文献
Diagnostic checking of the specification of time series models is normally carried out using the innovations—that is, the one-step-ahead prediction errors. In an unobserved-components model, other sets of residuals are available. These auxiliary residuals are estimators of the disturbances associated with the unobserved components. They can often yield information that is less apparent from the innovations, but they suffer from the disadvantage that they are serially correlated even in a correctly specified model with known parameters. This article shows how the properties of the auxiliary residuals may be obtained, how they are related to each other and to the innovations, and how they can be used to construct test statistics. Applications are presented showing how residuals can be used to detect and distinguish between outliers and structural change. 相似文献
We compare the results obtained by applying the same signal-extraction procedures to two observationally equivalent state-space forms. The first model has different errors affecting the states and the observations, while the second has a single perturbation term which coincides with the one-step-ahead forecast error. The signals extracted from both forms are very similar but their variances are drastically different, because the states for the single-source error representation collapse to exact values while those coming from the multiple-error model remain uncertain. The implications of this result are discussed both with theoretical arguments and practical examples. We find that single error representations have advantages to compute the likelihood or to adjust for seasonality, while multiple error models are better suited to extract a trend indicator. Building on this analysis, it is natural to adopt a ‘best of both worlds’ approach, which applies each representation to the task in which it has comparative advantage. 相似文献