Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

Hanson-Wright inequality in Banach spaces

Uproszczony widok
cris.lastimport.scopus2024-02-12T20:04:09Z
dc.abstract.enWe discuss two-sided bounds for moments and tails of quadratic forms in Gaussian random variables with values in Banach spaces. We state a natural conjecture and show that it holds up to additional logarithmic factors. Moreover in a certain class of Banach spaces (including $L_r$-spaces) these logarithmic factors may be eliminated. As a corollary we derive upper bounds for tails and moments of quadratic forms in subgaussian random variables, which extend the Hanson–Wright inequality.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLatała, Rafał
dc.contributor.authorMeller, Rafał
dc.contributor.authorAdamczak, Radosław
dc.date.accessioned2024-01-25T02:55:03Z
dc.date.available2024-01-25T02:55:03Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume56
dc.identifier.doi10.1214/19-AIHP1041
dc.identifier.issn0246-0203
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/108284
dc.identifier.weblinkhttps://projecteuclid.org/euclid.aihp/1603267223#abstract
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofAnnales de l'institut Henri Poincare (B) Probability and Statistics
dc.relation.pages2356-2376
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleHanson-Wright inequality in Banach spaces
dc.typeJournalArticle
dspace.entity.typePublication