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Teoriya Veroyatnostei i ee Primeneniya, 1973, Volume 18, Issue 2, Pages 350–357 (Mi tvp4293)  
This article is cited in 15 scientific papers (total in 15 papers)

Absolute Estimates for Moments of Certain Boundary Functionals

A. A. Mogul'skii

Novosibirsk
Full-text PDF (981 kB) Citations (15)
Abstract: Let $\xi_1,\xi_2,\dots$ be independent identically distributed random variables, $\mathbf{M}\xi_1\ge 0$, and let $\chi$ is the limiting value of the first jump over an infinite bound. In the paper, the estimates
$$ \mathbf{M}\chi^s\le A_1\frac{1}{s+1}\frac{\mathbf{M}|\xi_1|^{s+2}}{\mathbf{M}\xi^2_1},\qquad s\ge 0, $$
are obtained.
Received: 27.10.1970
Revised: 10.05.1972
English version:
Theory of Probability and its Applications, 1973, Volume 18, Issue 2, Pages 340–347
DOI: https://doi.org/10.1137/1118035
Bibliographic databases:
Language: Russian
Citation: A. A. Mogul'skii, “Absolute Estimates for Moments of Certain Boundary Functionals”, Teor. Veroyatnost. i Primenen., 18:2 (1973), 350–357; Theory Probab. Appl., 18:2 (1973), 340–347
Citation in format AMSBIB
\Bibitem{Mog73}
\by A.~A.~Mogul'skii
\paper Absolute Estimates for Moments of Certain Boundary Functionals
\jour Teor. Veroyatnost. i Primenen.
\yr 1973
\vol 18
\issue 2
\pages 350--357
\mathnet{http://mi.mathnet.ru/tvp4293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=321191}
\zmath{https://zbmath.org/?q=an:0298.60031}
\transl
\jour Theory Probab. Appl.
\yr 1973
\vol 18
\issue 2
\pages 340--347
\crossref{https://doi.org/10.1137/1118035}
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  • https://www.mathnet.ru/eng/tvp/v18/i2/p350
    • This publication is cited in the following 15 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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