Object Oriented Data Analysis

1. Auflage 2021
ISBN: 978-0-8153-9282-8
Verlag: Chapman and Hall/CRC

Buch, Englisch, 436 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 819 g

Reihe: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Object Oriented Data Analysis is a framework that facilitates inter-disciplinary research through new terminology for discussing the often many possible approaches to the analysis of complex data. Such data are naturally arising in a wide variety of areas. This book aims to provide ways of thinking that enable the making of sensible choices.

The main points are illustrated with many real data examples, based on the authors' personal experiences, which have motivated the invention of a wide array of analytic methods.

While the mathematics go far beyond the usual in statistics (including differential geometry and even topology), the book is aimed at accessibility by graduate students. There is deliberate focus on ideas over mathematical formulas.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Marron, J. S.

Dryden, Ian L.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

- What is OODA?

- Breadth of OODA

- Data Object Definition

- Exploratory and Confirmatory Analyses

- OODA P6

- Data Visualization

- Distance Based Methods

- Manifold Data Analysis

- FDA Curve Registration

- Graph Structured Data Objects

- Classification - Supervised Learning

- Clustering - Unsupervised Learning

- High Dimensional Inference

- High Dimensional Asymptotics

- Smoothing and SiZer

- Robust Methods

- PCA Details and Variants

- OODA Context and Related Areas

Über Autor(innen)

J. S. Marron is the Amos Hawley Distinguished Professor of Statistics, Professor of Biostatistics, Adjunct Professor of Computer Science, Faculty Member of the Bioinformatics and Computational Biology Curriculum and Research Member of the Lineberger Cancer Center and the Computational Medicine Program, at the University of North Carolina, Chapel Hill.
Ian L. Dryden is a Professor in the Department of Mathematics and Statistics at Florida International University in Miami, has served as Head of School of Mathematical Sciences at the University of Nottingham, and is joint author of the acclaimed book Statistical Shape Analysis.