Springer Series in Statistics

Dynamic Data Analysis

Modeling Data with Differential Equations

Authors: Ramsay, James, Hooker, Giles

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  • Offers an accessible text to those with little or no exposure to differential equations as modeling objects 
  • Updates and builds on techniques from the popular Functional Data Analysis (Ramsay and Silverman, 2005)
  • Opens up new opportunities for dynamical systems and presents additional applications for previously analyzed data
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eBook 83,29 €
price for Spain (gross)
  • ISBN 978-1-4939-7190-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
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  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-1-4939-7188-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-1-4939-8412-1
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This text focuses on the use of smoothing methods for developing and estimating differential equations following recent developments in functional data analysis and building on techniques described in Ramsay and Silverman (2005) Functional Data Analysis. The central concept of a dynamical system as a buffer that translates sudden changes in input into smooth controlled output responses has led to applications of previously analyzed data, opening up entirely new opportunities for dynamical systems. The technical level has been kept low so that those with little or no exposure to differential equations as modeling objects can be brought into this data analysis landscape. There are already many texts on the mathematical properties of ordinary differential equations, or dynamic models, and there is a large literature distributed over many fields on models for real world processes consisting of differential equations. However, a researcher interested in fitting such a model to data, or a statistician interested in the properties of differential equations estimated from data will find rather less to work with. This book fills that gap. 

About the authors

Jim Ramsay, PhD, is Professor Emeritus of Psychology and an Associate Member in the Department of Mathematics and Statistics at McGill University. He received his PhD from Princeton University in 1966 in quantitative psychology. He has been President of the Psychometric Society and the Statistical Society of Canada. He received the Gold Medal in 1998 for his contributions to psychometrics and functional data analysis and Honorary Membership in 2012 from the Statistical Society of Canada.

Giles Hooker, PhD, is Associate Professor of Biological Statistics and Computational Biology at Cornell University. In addition to differential equation models, he has published extensively on functional data analysis and uncertainty quantification in machine learning. Much of his methodological work is inspired by collaborations in ecology and citizen science data.

Table of contents (10 chapters)

  • Introduction to Dynamic Models

    Ramsay, James (et al.)

    Pages 1-15

    Preview Buy Chapter 30,19 €
  • Differential Equations: Notation and Architecture

    Ramsay, James (et al.)

    Pages 17-30

  • Linear Differential Equations and Systems

    Ramsay, James (et al.)

    Pages 31-51

  • Nonlinear Differential Equations and Systems

    Ramsay, James (et al.)

    Pages 53-68

    Preview Buy Chapter 30,19 €
  • Numerical Solutions

    Ramsay, James (et al.)

    Pages 69-81

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-1-4939-7190-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-1-4939-7188-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-1-4939-8412-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Dynamic Data Analysis
Book Subtitle
Modeling Data with Differential Equations
Authors
Series Title
Springer Series in Statistics
Copyright
2017
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media LLC
eBook ISBN
978-1-4939-7190-9
DOI
10.1007/978-1-4939-7190-9
Hardcover ISBN
978-1-4939-7188-6
Softcover ISBN
978-1-4939-8412-1
Series ISSN
0172-7397
Edition Number
1
Number of Pages
XVII, 230
Number of Illustrations
34 b/w illustrations, 50 illustrations in colour
Topics