Smoothing of multivariate data:Density estimation and visualization

Introduction

This page provides the supplementary material for the book "Smoothing of multivariate data".

See the product page of Wiley.

Preview

See the table of contents and the introduction.

See also the detailed table of contents.

Blog

The blog http://denstruct.blogspot.com/ will contain errors, updates, and discussions about the book.

Software

The software is implemented in two R-packages, "denpro" and "delt".

NOTE: Reproducing the figures requires the use of undocumented programs and thus one needs to download the file "denpro.R" and install the source code with the function "source"; see the installation instructions

Figures and Code

Below we give links to the colored figures of the book. In addition, we provide for each chapter a short code section. These code sections contain short samples for the R-commands related to the each chapter. For some chapters we provide some illustrative animations.

NOTE: Reproducing the figures requires the use of undocumented programs and thus one needs to download the file "denpro.R" and install the source code with the function "source"; see the installation instructions

  1. Introduction
    1. Figures
  1. Visualization of data
    1. Figures
  2. Visualization of functions
    1. Figures
    2. Code
  3. Visualization of trees
    1. Figures
  4. Level set trees
    1. Figures
    2. Code
    3. Animation: Growing of a level set tree
  5. Shape trees
    1. Figures
    2. Code
    3. Animation: Growing of a shape tree
  6. Tail trees
    1. Figures
    2. Code
    3. Animation: Growing of a tail tree
  7. Scales of density estimates
    1. Figures
    2. Code
  8. Cluster analysis
    1. Figures
    2. Code
  9. Density estimation
    1. Figures
  10. Density classes
    1. Figures
    2. Code
  11. Lower bounds
  12. Empirical processes
  13. Manipulation of density estimates
    1. Figures
    2. Code
  14. Local averaging
    1. Figures
    2. Code
  15. Minimization estimators
    1. Figures
  16. Wavelet estimators
    1. Figures
  17. Multivariate adaptive histograms
    1. Figures
    2. Code
  18. Best basis selection
    1. Figures
  19. Stagewise minimization
    1. Figures
    2. Code