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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 650–654 (Mi tvp3086)  
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

On sojourn times for functions and stochastic processes

Yu. A. Davydov, A. L. Rozin

Leningrad
Full-text PDF (336 kB) Citations (6)
Abstract: For processes with $d$-dimensional ($d>1$) parameter and with realizations in the class Lip 1, sufficient conditions for the existence of the density of a sojourn time are given. If realizations of the process are in the class $C^d$ ($[0,1]^d$), these conditions are also necessary. For analogs of the Brownian motion with $d$-dimensional parameter, estimates for the smoothness of the sojourn time density are obtained.
Received: 28.02.1977
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 633–637
DOI: https://doi.org/10.1137/1123074
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. A. Davydov, A. L. Rozin, “On sojourn times for functions and stochastic processes”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 650–654; Theory Probab. Appl., 23:3 (1979), 633–637
Citation in format AMSBIB
\Bibitem{DavRoz78}
\by Yu.~A.~Davydov, A.~L.~Rozin
\paper On sojourn times for functions and stochastic processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 650--654
\mathnet{http://mi.mathnet.ru/tvp3086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509740}
\zmath{https://zbmath.org/?q=an:0402.60076}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 633--637
\crossref{https://doi.org/10.1137/1123074}
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  • https://www.mathnet.ru/eng/tvp/v23/i3/p650
    • This publication is cited in the following 6 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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