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One-dimensional empirical measures, order statistics, and Kantorovich transport distances /
This work is devoted to the study of rates of convergence of the empirical measures \mu_{n} = \frac {1}{n} \sum_{k=1}^n \delta_{X_k}, n \geq 1, over a sample (X_{k})_{k \geq 1} of independent identically distributed real-valued random variables towards the common distribution \mu in Kantorovich tran...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[2019].
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 261. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Bobkov, Serguei G. |q (Serguei Germanovich), |d 1961- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJrcjmkrbyc6HHJwm43G73 | |
| 245 | 1 | 0 | |a One-dimensional empirical measures, order statistics, and Kantorovich transport distances / |c Sergey Bobkov, Michel Ledoux. |
| 264 | 1 | |a Providence : |b American Mathematical Society, |c [2019]. | |
| 264 | 4 | |c © 2019 | |
| 300 | |a 1 online resource (v, 126 pages.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |2 rdamedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society ; |v number 261 | |
| 500 | |a "September 2019, volume 261, number 1259 (third of 7 numbers)." | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | |a Description based on print version record. | ||
| 505 | 0 | |a Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Generalities on Kantorovich transport distances -- Chapter 3. The Kantorovich distance ₁(_{ },) -- Chapter 4. Order statistics representations of _{ }(_{ },) -- Chapter 5. Standard rate for \E(_{ }^{ }(_{ },)) -- Chapter 6. Sampling from log-concave distributions -- Chapter 7. Miscellaneous bounds and results -- Appendices -- Appendix A. Inverse distribution functions -- Appendix B. Beta distributions -- Bibliography -- Back Cover | |
| 520 | |a This work is devoted to the study of rates of convergence of the empirical measures \mu_{n} = \frac {1}{n} \sum_{k=1}^n \delta_{X_k}, n \geq 1, over a sample (X_{k})_{k \geq 1} of independent identically distributed real-valued random variables towards the common distribution \mu in Kantorovich transport distances W_p. The focus is on finite range bounds on the expected Kantorovich distances \mathbb{E}(W_{p}(\mu_{n}, \mu)) or \big [\mathbb{E}(W_{p}^p(\mu_{n}, \mu)) \big]^1/p in terms of moments and analytic conditions on the measure \mu and its distribution function. The study describes a v. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Transportation problems (Programming) | |
| 650 | 6 | |a Problèmes de transport (Programmation) | |
| 650 | 7 | |a Teoría del transporte |2 embne | |
| 650 | 0 | 7 | |a Transporte |x Análisis matemático |2 embucm |
| 650 | 7 | |a Transportation problems (Programming) |2 fast | |
| 700 | 1 | |a Ledoux, Michel, |e author. | |
| 758 | |i has work: |a One-dimensional empirical measures, order statistics, and Kantorovich transport distances (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHv7fhvXwYC7FvQ3yMRqP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: Bobkov, Serguei G. (Serguei Germanovich), 1961- |t One-dimensional empirical measures, order statistics, and Kantorovich transport distances. |d Providence, RI : American Mathematical Society, [2019] |z 9781470436506 |w (DLC) 2020023166 |w (OCoLC)1109444248 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 261. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5990822 |z Texto completo |
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