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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 351, Pages 101–116 (Mi znsl28)  
On distributions of passage times of Brownian motion with jumps

A. N. Borodin
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Abstract: Brownian motion with jumps that is the sum of Brownian motion and compound Poisson process is considered. It is assumed that the distribution of jumps is symmetric exponential. The formula for the Laplace transform of the distribution of time spend by Brownian motion with jumps upper than some level is obtained.
Received: 01.12.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 6, Pages 853–861
DOI: https://doi.org/10.1007/s10958-008-9102-7
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. N. Borodin, “On distributions of passage times of Brownian motion with jumps”, Probability and statistics. Part 12, Zap. Nauchn. Sem. POMI, 351, POMI, St. Petersburg, 2007, 101–116; J. Math. Sci. (N. Y.), 152:6 (2008), 853–861
Citation in format AMSBIB
\Bibitem{Bor07}
\by A.~N.~Borodin
\paper On distributions of passage times of Brownian motion with jumps
\inbook Probability and statistics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 351
\pages 101--116
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl28}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 152
\issue 6
\pages 853--861
\crossref{https://doi.org/10.1007/s10958-008-9102-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55049122727}
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