Object Oriented Data Analysis (Chapman & Hall/crc Monographs on Statistics and Applied Probability)

Marron, J. S./ Dryden, Ian L.

Chapman & Hall/CRC（2024/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 424 p.
• 言語 ENG
• 商品コード 9781032114804
• DDC分類 005.117

Full Description

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.

Contents

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