One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances
Author:   Sergey Bobkov ,  Michel Ledoux
Publisher:   American Mathematical Society
ISBN:  

9781470436506


Pages:   126
Publication Date:   30 December 2019
Format:   Paperback
Availability:   In Print   Availability explained
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One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances


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Author:   Sergey Bobkov ,  Michel Ledoux
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.260kg
ISBN:  

9781470436506


ISBN 10:   1470436507
Pages:   126
Publication Date:   30 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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 $\mathbb{E} (W_p^p(\mu _n,\mu ))$ Sampling from log-concave distributions Miscellaneous bounds and results Appendix A. Inverse distribution functions Appendix B. Beta distributions Bibliography.

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Sergey Bobkov, University of Minnesota, Minneapolis, Minnesota. Michel Ledoux, Universite de Toulouse, France.

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