Smoothing of Multivariate Data: Density Estimation and Visualization

Introduction.

PART I VISUALIZATION.

1. Visualization of Data.

2. Visualization of Functions.

3. Visualization of Trees.

4. Level Set Trees.

5. Shape Trees.

6. Tail Trees.

7. Scales of Density Estimates.

8. Cluster Analysis.

PART II ANALYTICAL AND ALGORITHMIC TOOLS.

9. Density Estimation.

10. Density Classes.

11. Lower Bounds.

12. Empirical Processes.

13. Manipulation of Density Estimates.

PART III TOOLBOX OF DENSITY ESTIMATORS.

14. Local Averaging.

15. Minimization Eestimators.

16 Wavelet Estimators.

17. Multivariate Adaptive Hhistograms.

18. Best Basis Selection.

19. Stagewise Minimization.

Appendix A: Notations.

Appendix B: Formulas.

Appendix C: The parentchild relations in a modegraph.

Appendix D: Trees.

Appendix E: Proofs.

Problem Solving.

References.

Author Index.

Topic Index.