Fourier-Based Distances and Berry-Esseen Like Inequalities for Smooth Densities
نویسندگان
چکیده
منابع مشابه
The Berry-esseen Bound for Character Ratios
Let λ be a partition of n chosen from the Plancherel measure of the symmetric group Sn, let χλ(12) be the irreducible character of the symmetric group parameterized by λ evaluated on the transposition (12), and let dim(λ) be the dimension of the irreducible representation parameterized by λ. Fulman recently obtained the convergence rate of O(n−s) for any 0 < s < 1 2 in the central limit theorem...
متن کاملBerry-Esseen for Free Random Variables
An analogue of the Berry-Esseen inequality is proved for the speed of convergence of free additive convolutions of bounded probability measures. The obtained rate of convergence is of the order n, the same as in the classical case. An example with binomial measures shows that this estimate cannot be improved without imposing further restrictions on convolved measures. Courant Institute of Mathe...
متن کاملBerry-Esseen bounds for econometric time series
We derive uniform and non–uniform error bounds in the normal approximation under a general dependence assumption. Our method is tailor made for dynamic time series models employed in the econometric literature but it is also applicable for many other dependent processes. Neither stationarity nor any smoothness conditions of the underlying distributions are required. If the introduced weak depen...
متن کاملBerry Esseen Bounds for Combinatorial Central Limit
Berry Esseen type bounds to the normal, based on zeroand size-bias couplings, are derived using Stein’s method. The zero biasing bounds are illustrated with an application to combinatorial central limit theorems where the random permutation has either the uniform distribution or one which is constant over permutations with the same cycle type and having no fixed points. The size biasing bounds ...
متن کاملAn Inductive Proof of the Berry-Esseen Theorem for Character Ratios Running head: Berry-Esseen Theorem for Character Ratios
Ratios Running head: Berry-Esseen Theorem for Character Ratios Submitted 3/9/05; Revised 8/6/06 By Jason Fulman Department of Mathematics, University of Southern California Los Angeles, CA 90089, USA [email protected] Abstract: Bolthausen used a variation of Stein’s method to give an inductive proof of the Berry-Esseen theorem for sums of independent, identically distributed random variables. We m...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2002
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s006050200010