The energy of data and distance correlation
著者
書誌事項
The energy of data and distance correlation
（Monographs on statistics and applied probability, 171）（A Chapman & Hall book）
CRC Press, Taylor & Francis Group, 2023
- : hbk
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注記
Includes bibliographical references (p. 417-444) and index
内容説明・目次
内容説明
*E-statistics provides powerful methods to deal with problems in multivariate inference and analysis
*Methods are implemented in R, and readers can immediately apply them using the freely available energy package for R
*The proposed book will provide an overview of the existing state-of-the-art in development of energy statistics and an overview of applications.
*Background and literature review is valuable for anyone considering further research or application in energy statistics.
目次
Part 1: The Energy of Data 1. Introduction 2. Preliminaries 3. Energy Distance 4. Introduction to Energy Inference 5. Goodness-of-Fit 6. Testing Multivariate Normality 7. Eigenvalues for One-Sample E-Statistics 8. Generalized Goodness-of-Fit 9. Multi-sample Energy Statistics 10. Energy in Metric Spaces and Other Distances Part 2: Distance Correlation and Dependence 11. On Correlation and Other Measures of Association 12. Distance Correlation 13. Testing Independence 14. Applications and Extensions 15. Brownian Distance Covariance 16. U-statistics and Unbiased dCov2 17. Partial Distance Correlation 18. The Numerical Value of dCor 19. The dCor t-test of Independence in High Dimension 20. Computational Algorithms 21. Time Series and Distance Correlation 22. Axioms of Dependence Measures 23. Earth Mover's Correlation 24. Appendix A: Historical Background 25. Appendix B: Prehistory
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