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Theory of Stochastic Processes, 2011, Volume 17(33), Issue 1, Pages 90–99 (Mi thsp44)  
The distribution of random evolution in Erlang semi-Markov media

A. Pogorui

Zhytomyr Ivan Franko State University
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Abstract: We study a one-dimensional random motion by using a general Erlang distribution for the sojourn times of a switching process and obtain the solution of a four-order hyperbolic PDE in the 2-Erlang case.
Keywords: Random motion, Erlang distribution, differentiable functions on commutative algebras, biwave equation.
Bibliographic databases:
Document Type: Article
MSC: 60K37
Language: English
Citation: A. Pogorui, “The distribution of random evolution in Erlang semi-Markov media”, Theory Stoch. Process., 17(33):1 (2011), 90–99
Citation in format AMSBIB
\Bibitem{Pog11}
\by A. Pogorui
\paper The distribution of random evolution in Erlang semi-Markov media
\jour Theory Stoch. Process.
\yr 2011
\vol 17(33)
\issue 1
\pages 90--99
\mathnet{http://mi.mathnet.ru/thsp44}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076880}
\zmath{https://zbmath.org/?q=an:1249.60196}
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