Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 401–409
DOI: https://doi.org/10.4213/mzm9856
(Mi mzm9856)
 

This article is cited in 1 scientific paper (total in 1 paper)

On Decoupling of Functions of Normal Vectors

P. G. Grigor'ev, S. A. Molchanov

University of North Carolina Charlotte, USA
Full-text PDF (450 kB) Citations (1)
References:
Abstract: Two decoupling type inequalities for functions of Gaussian vectors are proved. In both cases, it turns out that the case of linear functions is the extreme one. The proofs involve certain properties of Wick's (Hermite's) polynomials and a refined version of Schur's theorem on entrywise product of positive definite matrices.
Keywords: decoupling, normally distributed random vector, Wick polynomial, Hermite polynomial, Schur product, Hadamard product, covariance matrix.
Received: 01.07.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 362–368
DOI: https://doi.org/10.1134/S0001434612090088
Bibliographic databases:
Document Type: Article
UDC: 519.213.22
Language: Russian
Citation: P. G. Grigor'ev, S. A. Molchanov, “On Decoupling of Functions of Normal Vectors”, Mat. Zametki, 92:3 (2012), 401–409; Math. Notes, 92:3 (2012), 362–368
Citation in format AMSBIB
\Bibitem{GriMol12}
\by P.~G.~Grigor'ev, S.~A.~Molchanov
\paper On Decoupling of Functions of Normal Vectors
\jour Mat. Zametki
\yr 2012
\vol 92
\issue 3
\pages 401--409
\mathnet{http://mi.mathnet.ru/mzm9856}
\crossref{https://doi.org/10.4213/mzm9856}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201574}
\zmath{https://zbmath.org/?q=an:1269.60021}
\elib{https://elibrary.ru/item.asp?id=20731599}
\transl
\jour Math. Notes
\yr 2012
\vol 92
\issue 3
\pages 362--368
\crossref{https://doi.org/10.1134/S0001434612090088}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000310228200008}
\elib{https://elibrary.ru/item.asp?id=20662115}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867948695}
Linking options:
  • https://www.mathnet.ru/eng/mzm9856
  • https://doi.org/10.4213/mzm9856
  • https://www.mathnet.ru/eng/mzm/v92/i3/p401
    Cycle of papers
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:387
    Full-text PDF :156
    References:57
    First page:21
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024