One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances (Memoirs of the American Mathematical Society, September 2019, Number 1259) free ebook download.

Home : Book details

One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances (Memoirs of the American Mathematical Society, September 2019, Number 1259) free ebook download

Category:
Mathematics

Views: 123
Likes: 7

Catalogue

Author(s):	Sergey Bobkov

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	1470436507
Pages:	126	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	2/12/2024 2:22:28 AM

To download click on link in the Links Table below

Description: Click to see full description

1470436507 pdf
This work is devoted to the study of rates of convergence of the empirical measures $mu_{n} = rac {1}{n} sum_{k=1}^n delta_{X_k}$, $n geq 1$, 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 $ ig [ mathbb{E}(W_{p}^p(mu_{n},mu )) ig ]^1/p$ in terms of moments and analytic conditions on the measure $mu $ and its distribution function. The study describes a variety of rates, from the standard one $ rac {1}{sqrt n}$ to slower rates, and both lower and upper-bounds on $mathbb{E}(W_{p}(mu_{n},mu ))$ for fixed $n$ in various instances. Order statistics, reduction to uniform samples and analysis of beta distributions, inverse distribution functions, log-concavity are main tools in the investigation. Two detailed appendices collect classical and some new facts on inverse distribution functions and beta distributions and their densities necessary to the investigation.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3233828	Book	https://rapidgator.net/file/010f795b9c21...		0.00	maveriks

Tags: American Distances Empirical Kantorovich Measures Memoirs One-Dimensional Order Statistics Transport

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: