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Teoriya Veroyatnostei i ee Primeneniya, 1967, Volume 12, Issue 3, Pages 520–531 (Mi tvp732)  
This article is cited in 29 scientific papers (total in 29 papers)

The probability properties of bilinear expansions in Hermite polynomiels

O. V. Sarmanova, Z. N. Bratoevab

a Moscow
b Leningrad
Full-text PDF (699 kB) Citations (29)
Abstract: The present paper contains an investigation of the probability meaning of formulas (1) and (4).
According to the basic theorem 2 for sum (1) to be non negative it is nesessary and sufficient that the sequence of coefficients $\{c_k\}$ be the sequence of moments of some probability distribution in finite interval $[-1,1]$.
Some examples of densities comprised in the normal class in the sence of Fré'chet [7] are given here.
Received: 06.09.1965
English version:
Theory of Probability and its Applications, 1967, Volume 12, Issue 3, Pages 470–481
DOI: https://doi.org/10.1137/1112056
Bibliographic databases:
Language: Russian
Citation: O. V. Sarmanov, Z. N. Bratoeva, “The probability properties of bilinear expansions in Hermite polynomiels”, Teor. Veroyatnost. i Primenen., 12:3 (1967), 520–531; Theory Probab. Appl., 12:3 (1967), 470–481
Citation in format AMSBIB
\Bibitem{SarBra67}
\by O.~V.~Sarmanov, Z.~N.~Bratoeva
\paper The probability properties of bilinear expansions in Hermite polynomiels
\jour Teor. Veroyatnost. i Primenen.
\yr 1967
\vol 12
\issue 3
\pages 520--531
\mathnet{http://mi.mathnet.ru/tvp732}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=216541}
\zmath{https://zbmath.org/?q=an:0178.21205}
\transl
\jour Theory Probab. Appl.
\yr 1967
\vol 12
\issue 3
\pages 470--481
\crossref{https://doi.org/10.1137/1112056}
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    • This publication is cited in the following 29 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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