Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied th
Bayesian Nonparametric Data Analysis
β Scribed by Peter MΓΌller, Fernando Andres Quintana, Alejandro Jara, Tim Hanson (auth.)
- Publisher
- Springer International Publishing
- Year
- 2015
- Tongue
- English
- Leaves
- 203
- Series
- Springer Series in Statistics
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book reviews nonparametric Bayesian methods and models that have proven useful in the context of data analysis. Rather than providing an encyclopedic review of probability models, the bookβs structure follows a data analysis perspective. As such, the chapters are organized by traditional data analysis problems. In selecting specific nonparametric models, simpler and more traditional models are favored over specialized ones.
The discussed methods are illustrated with a wealth of examples, including applications ranging from stylized examples to case studies from recent literature. The book also includes an extensive discussion of computational methods and details on their implementation. R code for many examples is included in online software pages.
β¦ Table of Contents
Front Matter....Pages i-xiv
Introduction....Pages 1-5
Density Estimation: DP Models....Pages 7-31
Density Estimation: Models Beyond the DP....Pages 33-50
Regression....Pages 51-75
Categorical Data....Pages 77-100
Survival Analysis....Pages 101-123
Hierarchical Models....Pages 125-143
Clustering and Feature Allocation....Pages 145-174
Other Inference Problems and Conclusion....Pages 175-178
Back Matter....Pages 179-193
β¦ Subjects
Statistical Theory and Methods; Statistics and Computing/Statistics Programs; Statistics for Life Sciences, Medicine, Health Sciences
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Cover; Series; Contents; Preface; Part I: Fundamentals of Bayesian Inference; Chapter 1: Probability and Inference; Chapter 2: Single-parameter Models; Chapter 3: Introduction to Multiparameter Models; Chapter 4: Asymptotics and Connections to non-Bayesian Approaches; Chapter 5: Hierarchical Models;