Chaos: A Statistical Perspective

Author:   Kung-Sik Chan ,  Howell Tong
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
ISBN:  

9781441929365


Pages:   300
Publication Date:   23 November 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Chaos: A Statistical Perspective


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Full Product Details

Author:   Kung-Sik Chan ,  Howell Tong
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.498kg
ISBN:  

9781441929365


ISBN 10:   1441929363
Pages:   300
Publication Date:   23 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction and Case Studies.- 2 Deterministic Chaos.- 3 Chaos and Stochastic Systems.- 4 Statistical Analysis I.- 5 Statistical Analysis II.- 6 Nonlinear Least-Square Prediction.- 7 Miscellaneous Topics.- Appendix A Deterministic Chaos.- A.1 Introduction.- A.2 Attracting Sets.- A.3 Another Look At the Logistic Maps.- A.4 Attractors.- A.5 Two Approaches to Studying Chaos.- A.6 Invariant and Ergodic Distributions.- A.7 Lyapunov Exponents.- A.8 Natural Measures.- A.9 Dimensions of an Attractor.- A.9.1 Box-Counting Dimension.- A.9.2 Correlation Dimension.- A.10 Map Reconstruction.- A. 11 Some Elements of Differentiable Manifolds.- A.12 Hyperbolic Sets.- A.13 Notes.- Appendix B Supplements to Chapter 3.- B.1 Criteria for Ergodicity.- B.1.1 Notes.- B.2 Proofs of Two Theorems in §3.3.2.- B.3 Shadowing and Hyperbolic Attractors.- Appendix C Data Sets and Software.- References.- Author Index.

Reviews

From the reviews: SHORT BOOK REVIEWS The authors have done an excellent job, providing an overview of known results with detailed references to the literature, as well as pointing out some open problems. In general, the book serves to `encourage more statisticians to join in with the fun of chaos'. The book fills a gap in the need to overview the present state of statistics and to point into the right direction for research. It seems to me that this has been achieved by the authors in an excellent way. Chan and Tong's book certainly deserves recommendation to anyone who is interested in dynamics, either as a statistician or as a researcher in the theory of dynamical systems, ergodic theory or differential equations. (Manfred Denker, Metrika, September, 2003) The authors fully attain their aim stated in the introduction. Their style is very friendly and they take much care to prevent technical details from obscuring the essential issues. The book requires careful reading but the profit is well worth the effort. A truly enjoyable and recommendable book! (Ricardo Maronna, Statistical Papers, Vol. 44 (1), 2003)


From the reviews: SHORT BOOK REVIEWS The authors have done an excellent job, providing an overview of known results with detailed references to the literature, as well as pointing out some open problems. In general, the book serves to 'encourage more statisticians to join in with the fun of chaos'. The book fills a gap in the need to overview the present state of statistics and to point into the right direction for research. It seems to me that this has been achieved by the authors in an excellent way. Chan and Tong's book certainly deserves recommendation to anyone who is interested in dynamics, either as a statistician or as a researcher in the theory of dynamical systems, ergodic theory or differential equations. (Manfred Denker, Metrika, September, 2003) The authors fully attain their aim stated in the introduction. Their style is very friendly and they take much care to prevent technical details from obscuring the essential issues. The book requires careful reading but the profit is well worth the effort. A truly enjoyable and recommendable book! (Ricardo Maronna, Statistical Papers, Vol. 44 (1), 2003)


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