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Matematicheskie Zametki, 2007, Volume 82, Issue 6, Pages 873–884
DOI: https://doi.org/10.4213/mzm4186 (Mi mzm4186) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Final Distribution for Gani Epidemic Markov Processes

A. V. Mastikhin

N. E. Bauman Moscow State Technical University
Full-text PDF (509 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm4186
Abstract: We consider the Kolmogorov equations for the transition probabilities of a three-dimensional Markov process of special form. For a stationary first equation, an exact solution is obtained using the Riemann method. We obtain asymptotics for the expectation and variance of the final distribution and establish a limit theorem.
Keywords: Gani epidemic process, Markov process, transition probabilities, generating function, Laplace transform, Bessel function, Laguerre polynomial.
Received: 10.11.2006
Revised: 17.04.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 6, Pages 787–797
DOI: https://doi.org/10.1134/S0001434607110223
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. V. Mastikhin, “Final Distribution for Gani Epidemic Markov Processes”, Mat. Zametki, 82:6 (2007), 873–884; Math. Notes, 82:6 (2007), 787–797
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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