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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 1, Pages 113–118 (Mi tvp347)  
This article is cited in 28 scientific papers (total in 28 papers)

Short Communications

On the Convergence to Normality of Quadratic Forms in Independent Variables

P. Whittle

University of Manchester
Full-text PDF (351 kB) Citations (28)
Abstract: Sufficient conditions are obtained for the distribution of a quadratic form of $n$ independent variables to converge to the normal distribution as $n$ increases. Particular attention is given to forms which are encountered in the theory of stationary random processes. The results of the paper are formulated in Theorems 1 and 2 of Section 4; a short description of the methods is given in Section 2.
Received: 26.09.1962
English version:
Theory of Probability and its Applications, 1964, Volume 9, Issue 1, Pages 103–108
DOI: https://doi.org/10.1137/1109011
Bibliographic databases:
Document Type: Article
Language: English
Citation: P. Whittle, “On the Convergence to Normality of Quadratic Forms in Independent Variables”, Teor. Veroyatnost. i Primenen., 9:1 (1964), 113–118; Theory Probab. Appl., 9:1 (1964), 103–108
Citation in format AMSBIB
\Bibitem{Whi64}
\by P.~Whittle
\paper On the Convergence to Normality of Quadratic Forms in Independent Variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 1
\pages 113--118
\mathnet{http://mi.mathnet.ru/tvp347}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=161429}
\zmath{https://zbmath.org/?q=an:0146.40905}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 1
\pages 103--108
\crossref{https://doi.org/10.1137/1109011}
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    • This publication is cited in the following 28 articles:
    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
     
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