Dynamic Data Analysis

Modeling Data with Differential Equations

Nonfiction, Science & Nature, Mathematics, Applied, Statistics
Cover of the book Dynamic Data Analysis by James Ramsay, Giles Hooker, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: James Ramsay, Giles Hooker ISBN: 9781493971909
Publisher: Springer New York Publication: June 27, 2017
Imprint: Springer Language: English
Author: James Ramsay, Giles Hooker
ISBN: 9781493971909
Publisher: Springer New York
Publication: June 27, 2017
Imprint: Springer
Language: English

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. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. 

More books from Springer New York

Cover of the book Stochastic Orders in Reliability and Risk by James Ramsay, Giles Hooker
Cover of the book Energy Balance and Gastrointestinal Cancer by James Ramsay, Giles Hooker
Cover of the book Quantitative Evaluation of Fire and EMS Mobilization Times by James Ramsay, Giles Hooker
Cover of the book The Psychology of Childhood Illness by James Ramsay, Giles Hooker
Cover of the book Seafood Processing By-Products by James Ramsay, Giles Hooker
Cover of the book Analog Dithering Techniques for Wireless Transmitters by James Ramsay, Giles Hooker
Cover of the book Sustaining Entrepreneurship and Economic Growth by James Ramsay, Giles Hooker
Cover of the book Meetings, Negotiations, and Socializing by James Ramsay, Giles Hooker
Cover of the book Cognitive Development in Adulthood by James Ramsay, Giles Hooker
Cover of the book Security for Wireless Implantable Medical Devices by James Ramsay, Giles Hooker
Cover of the book The Massachusetts General Hospital Handbook of Cognitive Behavioral Therapy by James Ramsay, Giles Hooker
Cover of the book Dating Neurological Injury: by James Ramsay, Giles Hooker
Cover of the book The Arithmetic of Elliptic Curves by James Ramsay, Giles Hooker
Cover of the book The Digital Glocalization of Entertainment by James Ramsay, Giles Hooker
Cover of the book Optimization in Science and Engineering by James Ramsay, Giles Hooker
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy