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Signal Extraction [electronic resource] :Efficient Estimation, ‘Unit Root'-Tests and Early Detection of Turning Points / by Marc Wildi.

by Wildi, Marc [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Economics and Mathematical Systems: 547Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Description: XI, 279 p. 80 illus. online resource.ISBN: 9783540269168.Subject(s): Statistics | Economics -- Statistics | Econometrics | Economics | Statistics | Statistics for Business/Economics/Mathematical Finance/Insurance | Econometrics | Economic TheoryDDC classification: 330.015195 Online resources: Click here to access online
Contents:
Theory -- Model-Based Approaches -- QMP-ZPC Filters -- The Periodogram -- Direct Filter Approach (DFA) -- Finite Sample Problems and Regularity -- Empirical Results -- Empirical Comparisons : Mean Square Performance -- Empirical Comparisons : Turning Point Detection -- Conclusion.
In: Springer eBooksSummary: The book provides deep insights into the signal extraction problem - especially at the boundary of a sample, where asymmetric filters must be used - and how to solve it optimally. The traditional model-based approach (TRAMO/SEATS or X-12-ARIMA) is an inefficient estimation method because it relies on one-step ahead forecasting performances (of a model) whereas the signal extraction problem implicitly requires good multi-step ahead forecasts also. Unit roots are important properties of the input signal because they generate a set of constraints for the best extraction filter. Since traditional tests essentially rely on one-step ahead forecasting performances, new tests are presented here which implicitly account for multi-step ahead forecasting performances too. The gain in efficiency obtained by the new estimation method is analyzed in great detail, using simulated data as well as 'real world' time series.
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Theory -- Model-Based Approaches -- QMP-ZPC Filters -- The Periodogram -- Direct Filter Approach (DFA) -- Finite Sample Problems and Regularity -- Empirical Results -- Empirical Comparisons : Mean Square Performance -- Empirical Comparisons : Turning Point Detection -- Conclusion.

The book provides deep insights into the signal extraction problem - especially at the boundary of a sample, where asymmetric filters must be used - and how to solve it optimally. The traditional model-based approach (TRAMO/SEATS or X-12-ARIMA) is an inefficient estimation method because it relies on one-step ahead forecasting performances (of a model) whereas the signal extraction problem implicitly requires good multi-step ahead forecasts also. Unit roots are important properties of the input signal because they generate a set of constraints for the best extraction filter. Since traditional tests essentially rely on one-step ahead forecasting performances, new tests are presented here which implicitly account for multi-step ahead forecasting performances too. The gain in efficiency obtained by the new estimation method is analyzed in great detail, using simulated data as well as 'real world' time series.

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