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Lecture Notes in Economics and Mathematical Systems
cover

Signal Extraction

Efficient Estimation, 'Unit Root'-Tests and Early Detection of Turning Points

Authors: Wildi, Marc

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About this book

The material contained in this book originated in interrogations about modern practice in time series analysis. • Why do we use models optimized with respect to one-step ahead foreca- ing performances for applications involving multi-step ahead forecasts? • Why do we infer 'long-term' properties (unit-roots) of an unknown process from statistics essentially based on short-term one-step ahead forecasting performances of particular time series models? • Are we able to detect turning-points of trend components earlier than with traditional signal extraction procedures? The link between 'signal extraction' and the first two questions above is not immediate at first sight. Signal extraction problems are often solved by su- ably designed symmetric filters. Towards the boundaries (t = 1 or t = N) of a time series a particular symmetric filter must be approximated by asymm- ric filters. The time series literature proposes an intuitively straightforward solution for solving this problem: • Stretch the observed time series by forecasts generated by a model. • Apply the symmetric filter to the extended time series. This approach is called 'model-based'. Obviously, the forecast-horizon grows with the length of the symmetric filter. Model-identification and estimation of unknown parameters are then related to the above first two questions. One may further ask, if this approximation problem and the way it is solved by model-based approaches are important topics for practical purposes? Consider some 'prominent' estimation problems: • The determination of the seasonally adjusted actual unemployment rate.

Reviews

From the reviews:

"The aim of the author is … to describe established procedures which are implemented in ‘widely used’ software packages. … The book can be of great interest for all specialists working in the area of nonlinear systems state and parameter estimation and identification. It will be of significant benefit for time series estimation and prediction in many applications." (Tzvetan Semerdjiev, Zentralblatt MATH, Vol. 1053, 2005)


Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 3-16

  • Model-Based Approaches

    Pages 17-44

  • QMP-ZPC Filters

    Pages 45-63

  • The Periodogram

    Pages 65-90

  • Direct Filter Approach (DFA)

    Pages 91-146

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-540-26916-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.99
price for USA in USD
  • ISBN 978-3-540-22935-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Signal Extraction
Book Subtitle
Efficient Estimation, 'Unit Root'-Tests and Early Detection of Turning Points
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
547
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-26916-8
DOI
10.1007/b138291
Softcover ISBN
978-3-540-22935-3
Series ISSN
0075-8442
Edition Number
1
Number of Pages
XII, 279
Topics