One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances

ISBN-13: 9781470436506 / Angielski / Miękka / 2019 / 126 str.

Sergey Bobkov;Michel Ledoux

Spis treści

• Introduction
• Generalities on Kantorovich transport distances
• The Kantorovich distance $W_1(\mu _n, \mu )$
• Order statistics representations of $W_p(\mu _n, \mu )$
• Standard rate for $\mathbb (W_p^p(\mu _n,\mu ))$
• Sampling from log-concave distributions
• Miscellaneous bounds and results
• Appendix A. Inverse distribution functions
• Appendix B. Beta distributions
• Bibliography.