Spectral Analysis and Time Series

A principal feature of this book is the substantial care and attention devoted to explaining the basic ideas of the subject. Whenever a new theoretical concept is introduced it is carefully explained by reference to practical examples drawn mainly from the physical sciences. Subjects covered include: spectral analysis which is closely intertwined with the "time domain" approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data. The inclusion of material on "kalman filtering", state-space filtering", "non-linear models" and continuous time" models completes the impressive list of unique and detailed features which will give this book a prominent position among related literature. The first section-Volume 1-deals with single (univariate) series, while the second-Volume 2-treats the analysis of several (multivariate) series and the problems of prediction, forecasting and control.

List of contents

Preface. Preface to Volume 2. Contents of Volume 2. List of Main Notation. Basic Concepts. Elements of Probability Theory. Stationary Random Processes. Spectral Analysis. Estimation in the Time Domain. Estimation in the Frequency Domain. Spectral Analysis in Practice. Analysis of Processes with Mixed Spectra.

Summary

Covers spectral analysis that is closely intertwined with the 'time domain' approach, elementary notions of Hilbert Space Theory, basic probability theory, and practical analysis of time series data.

Product details

• Authors: M. B. Priestley, M. B. (University of Manchester Institute of Science and Technology) Priestley, M.b. Priestley, Priestley M. B.
• Assisted by: M. B. Priestley (Editor)
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Paperback / Softback
• Released: 27.10.1982
• EAN: 9780125649223
• ISBN: 978-0-12-564922-3
• No. of pages: 890
• Series: Probability and Mathematical Statistics; Probability and Mathematical Statistics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, Probability & statistics, Probability and statistics