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Teoriya Veroyatnostei i ee Primeneniya, 1965, Volume 10, Issue 2, Pages 360–364 (Mi tvp530)  

This article is cited in 34 scientific papers (total in 34 papers)

Short Communications

О времени первого прохождения для одного класса процессов с независимыми приращениями

A. A. Borovkov

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Abstract: In the paper we generalize an observation of Keilson [1]. Let $X(t)$ be a left continuous homogeneous stochastic process with independent increments and let us suppose that its trajectories are continuous from above ($X(t+0)-X(t)\le0$) with probability 1. For such processes the indentity
$$ h(x,t)=\frac xtf(x,t) $$
is obtained where $f(x,t)$ and $h(x,t)$ are generalized densities for $X(t)$ and for the first passage time of the level $x>0$ respectively.
Received: 08.07.1964
English version:
Theory of Probability and its Applications, 1965, Volume 10, Issue 2, Pages 331–334
DOI: https://doi.org/10.1137/1110038
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Borovkov, “О времени первого прохождения для одного класса процессов с независимыми приращениями”, Teor. Veroyatnost. i Primenen., 10:2 (1965), 360–364; Theory Probab. Appl., 10:2 (1965), 331–334
Citation in format AMSBIB
\Bibitem{Bor65}
\by A.~A.~Borovkov
\paper О времени первого прохождения для одного класса процессов с независимыми приращениями
\jour Teor. Veroyatnost. i Primenen.
\yr 1965
\vol 10
\issue 2
\pages 360--364
\mathnet{http://mi.mathnet.ru/tvp530}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=182052}
\zmath{https://zbmath.org/?q=an:0146.38001}
\transl
\jour Theory Probab. Appl.
\yr 1965
\vol 10
\issue 2
\pages 331--334
\crossref{https://doi.org/10.1137/1110038}
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  • This publication is cited in the following 34 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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