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1 results

  • A Limit Theorem for a Weiss Epidemic Process

  • Part of
  • A. V. Kalinkin, A. V. Mastikhin
  • Journal:
    Journal of Applied Probability / Volume 52 / Issue 1 / March 2015
    Published online by Cambridge University Press:
    30 January 2018, pp. 247-257
    Print publication:
    March 2015
    • Article
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  • For a Markov two-dimensional death-process of a special class we consider the use of Fourier methods to obtain an exact solution of the Kolmogorov equations for the exponential (double) generating function of the transition probabilities. Using special functions, we obtain an integral representation for the generating function of the transition probabilities. We state the expression of the expectation and variance of the stochastic process and establish a limit theorem.