Dynamic Data Analysis: Modeling Data with Differential Equations

Author:   James Ramsay ,  Giles Hooker
Publisher:   Springer-Verlag New York Inc.
Edition:   1st ed. 2017
ISBN:  

9781493971886


Pages:   230
Publication Date:   28 June 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Dynamic Data Analysis: Modeling Data with Differential Equations


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Author:   James Ramsay ,  Giles Hooker
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1st ed. 2017
Weight:   0.633kg
ISBN:  

9781493971886


ISBN 10:   1493971883
Pages:   230
Publication Date:   28 June 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
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 to Dynamic Models.- 2 DE notation and types.- 3 Linear Differential Equations and Systems.- 4 Nonlinear Differential Equations.- 5 Numerical Solutions.- 6 Qualitative Behavior.- 7 Trajectory Matching.- 8 Gradient Matching.- 9 Profiling for Linear Systems.- 10 Nonlinear Profiling.- References.- Glossary.- Index.

Reviews

This book is intended both for first year graduate students and for researchers in applied mathematics and/or statistics who want to check models with differential equations in data science. These kinds of models have a mechanistic approach, enlarging the classes of models for statisticians, and giving techniques for estimation of parameters, assessing the adequacy of models and planning experiments for applied mathematicians. (Sylvie Viguier-Pla, Mathematical Reviews, August, 2018)


Author Information

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.

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