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Densities of distributions of homogeneous functions of Gaussian random vectors

Authors
  • Bogachev, V. I.1, 2, 3
  • Kosov, E. D.1, 2
  • Popova, S. N.2, 4
  • 1 Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991, Russia , Moscow (Russia)
  • 2 National Research University Higher School of Economics, Moscow, 101000, Russia , Moscow (Russia)
  • 3 St.-Tikhon’s Orthodox University, Moscow, 115184, Russia , Moscow (Russia)
  • 4 Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141701, Russia , Dolgoprudnyi (Russia)
Type
Published Article
Journal
Doklady Mathematics
Publisher
Pleiades Publishing
Publication Date
Nov 01, 2020
Volume
102
Issue
3
Pages
460–463
Identifiers
DOI: 10.1134/S106456242006023X
Source
Springer Nature
Keywords
License
Yellow

Abstract

AbstractWe obtain broad sufficient conditions for the boundedness of distribution densities of homogeneous functions on spaces with Gaussian measures. Estimates for the distribution densities of maxima of quadratic forms are obtained.

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