Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/high-dimensional-probability-vii-a-weighted-approximation-approach-to-QT04yYrXhs
References (13)
-
J. Komlos, Péter Major, G. Tusnády (1975)
An approximation of partial sums of independent RV'-s, and the sample DF. IZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, 32
-
C. Borell (1975)
The Brunn-Minkowski inequality in Gauss spaceInventiones mathematicae, 30
-
E. Haeusler, D. Mason (2003)
Asymptotic Distributions of Trimmed Wasserstein Distances Between the True and the Empirical Distribution Function -
M. Csorgo, S. Csőrgő, Lajos Horváth, D. Mason (1986)
Weighted Empirical and Quantile ProcessesAnnals of Probability, 14
-
D. Mason, W. Zwet (1987)
A REFINEMENT OF THE KMT INEQUALITY FOR THE UNIFORM EMPIRICAL PROCESSAnnals of Probability, 15
-
A. Munk, C. Czado (1998)
Nonparametric validation of similar distributions and assessment of goodness of fitJournal of the Royal Statistical Society: Series B (Statistical Methodology), 60
-
E. Barrio, E. Giné, C. Matrán (1999)
Central limit theorems for the wasserstein distance between the empirical and the true distributionsAnnals of Probability, 27
-
D. Mason (2001)
An exponential inequality for a weighted approximation to the uniform empirical process with applications -
M. Talagrand (1996)
New concentration inequalities in product spacesInventiones mathematicae, 126
-
S. Csőrgő, E. Haeusler, D. Mason (1988)
The Asymptotic Distribution of Trimmed SumsAnnals of Probability, 16
-
G. Shorack, J. Wellner (2009)
Empirical Processes with Applications to Statistics -
S. Csőrgő, E. Haeusler, D. Mason (1988)
A probabilistic approach to the asymptotic distribution of sums of independent, identically distributed random variablesAdvances in Applied Mathematics, 9
-
G. Shorack (1997)
Inequalities for quantile functions with a uniform studentized CLT that includes trimmingJournal of Nonparametric Statistics, 8
- Publisher
- Springer International Publishing
- Copyright
- © Springer International Publishing Switzerland 2016
- ISBN
- 978-3-319-40517-9
- Pages
- 137 –154
- DOI
- 10.1007/978-3-319-40519-3_6
- Publisher site
- See Chapter on Publisher Site
Abstract
[We shall demonstrate that weighted approximation technology provides an effective set of tools to study the rate of convergence of the Wasserstein distance between the cumulative distribution function [c.d.f] and the empirical c.d.f.]
Published: Sep 22, 2016
Keywords: Empirical process; Wasserstein distance; Weighted approximation