Improving discrepancy by moving a few points

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Smirnov, Gleb, Vershynin, Roman
Natura: Preprint
Pubblicazione: 2025
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866914032890413056
author Smirnov, Gleb
Vershynin, Roman
author_facet Smirnov, Gleb
Vershynin, Roman
contents We show how to improve the discrepancy of an iid sample by moving only a few points. Specifically, modifying \( O(m) \) sample points on average reduces the Kolmogorov-Smirnov distance to the population distribution to \(1/m\).
format Preprint
id arxiv_https___arxiv_org_abs_2503_04100
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improving discrepancy by moving a few points
Smirnov, Gleb
Vershynin, Roman
Statistics Theory
Probability
We show how to improve the discrepancy of an iid sample by moving only a few points. Specifically, modifying \( O(m) \) sample points on average reduces the Kolmogorov-Smirnov distance to the population distribution to \(1/m\).
title Improving discrepancy by moving a few points
topic Statistics Theory
Probability
url https://arxiv.org/abs/2503.04100