Multidimensional random motion with uniformly distributed changes of direction and erlang steps
Zhytomyr State University Library
Переглянути архів Інформація| Поле | Співвідношення | |
| Relation |
http://eprints.zu.edu.ua/13240/
http://link.springer.com/article/10.1007/s11253-011-0533-9?no-access=true |
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| Title |
Multidimensional random motion with uniformly distributed changes of direction and erlang steps
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| Creator |
Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М. |
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| Subject |
Mathematical Analysis
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| Description |
We study transport processes in ℝ n, n ≥ 1; that have nonexponentially distributed sojourn times or non-Markovian step durations. We use the idea that the probabilistic properties of a random vector are completely determined by those of its projection to a fixed line, and, using this idea, we avoid many difficulties appearing in the analysis of these problems in higher dimensions. As a particular case, we find the probability density function in three dimensions for 2-Erlang-distributed sojourn times.
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| Publisher |
Springer US
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| Date |
2011-09
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13240/1/Pogoruj.pdf
Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. (2011) Multidimensional random motion with uniformly distributed changes of direction and erlang steps. Ukrainian Mathematical Journal (63(4)). pp. 665-671. ISSN 0041-5995 |
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