ISBN-10:
0470290889
ISBN-13:
9780470290880
Pub. Date:
08/17/2009
Publisher:
Wiley
Smoothing of Multivariate Data: Density Estimation and Visualization / Edition 1

Smoothing of Multivariate Data: Density Estimation and Visualization / Edition 1

by Jussi Sakari Klemela

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Product Details

ISBN-13: 9780470290880
Publisher: Wiley
Publication date: 08/17/2009
Series: Wiley Series in Probability and Statistics Series , #737
Pages: 648
Product dimensions: 6.40(w) x 9.20(h) x 1.30(d)

About the Author

Jussi Klemel—, PhD, is Researcher in the Department of Mathematical Sciences at the University of Oulu, Finland. Dr. Klemelä has authored or coauthored numerous journal articles on his areas of research interest, which include density estimation and the implementation of cutting edge visualization tools.

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Table of Contents

Preface.

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.

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