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Teoriya Veroyatnostei i ee Primeneniya, 1967, Volume 12, Issue 4, Pages 755–762 (Mi tvp768)  
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

On moments of the time and the value of the first jump over a curvilinear bound

V. I. Rotar'

Moscow
Full-text PDF (404 kB) Citations (9)
Abstract: The maximal order of finite moments of the time and the value of the first jump over curvilinear bounds is obtained for the ordinary random walk with infinite variance. The negative answer is given to the question of professor H. Robbins about finiteness of the mean value of the positive part of the particle's position at a Markovian stopping time.
Received: 23.11.1966
English version:
Theory of Probability and its Applications, 1967, Volume 12, Issue 4, Pages 690–695
DOI: https://doi.org/10.1137/1112086
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Rotar', “On moments of the time and the value of the first jump over a curvilinear bound”, Teor. Veroyatnost. i Primenen., 12:4 (1967), 755–762; Theory Probab. Appl., 12:4 (1967), 690–695
Citation in format AMSBIB
\Bibitem{Rot67}
\by V.~I.~Rotar'
\paper On moments of the time and the value of the first jump over a~curvilinear bound
\jour Teor. Veroyatnost. i Primenen.
\yr 1967
\vol 12
\issue 4
\pages 755--762
\mathnet{http://mi.mathnet.ru/tvp768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=220330}
\zmath{https://zbmath.org/?q=an:0178.19202}
\transl
\jour Theory Probab. Appl.
\yr 1967
\vol 12
\issue 4
\pages 690--695
\crossref{https://doi.org/10.1137/1112086}
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  • https://www.mathnet.ru/eng/tvp/v12/i4/p755
    • This publication is cited in the following 9 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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