Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




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

Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 3, Pages 547–550 (Mi tvp403)  
Short Communications

On Polynomial Statistics for the Normal and Related Laws

A. A. Singera, Yu. V. Linnikb

a Leningrad
b Leningrad
Full-text PDF (270 kB)
Abstract: Polynomial statistics are studied for a normal vector and a random vector related to the normal one (this concept is defined by means of differential equations). It is proved that the independence property of polynomial statistics is, roughly speaking, equivalent to the absence of correlation between a finite number of special functions of them. A similar statement holds for the property of equidistribution of polynomial statistics.
Received: 31.01.1964
English version:
Theory of Probability and its Applications, 1964, Volume 9, Issue 3, Pages 494–497
DOI: https://doi.org/10.1137/1109068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Singer, Yu. V. Linnik, “On Polynomial Statistics for the Normal and Related Laws”, Teor. Veroyatnost. i Primenen., 9:3 (1964), 547–550; Theory Probab. Appl., 9:3 (1964), 494–497
Citation in format AMSBIB
\Bibitem{ZinLin64}
\by A.~A.~Singer, Yu.~V.~Linnik
\paper On Polynomial Statistics for the Normal and Related Laws
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 3
\pages 547--550
\mathnet{http://mi.mathnet.ru/tvp403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=168063}
\zmath{https://zbmath.org/?q=an:0171.40003}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 3
\pages 494--497
\crossref{https://doi.org/10.1137/1109068}
Linking options:
  • https://www.mathnet.ru/eng/tvp403
  • https://www.mathnet.ru/eng/tvp/v9/i3/p547
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024