The Kolmogorov equation in the stochastic fragmentation theory and branching processes with infinite collection of particle types.
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Brodskii, R.Ye., Virchenko, Yu.P. (2006)
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Let us consider two independent renewal processes generated by appropriate sequences of life times. We say that a renewal time is accepted if in the time between a signal and the preceding one, some signal of the second process occurs. Our purpose is to analyze the sequences of accepted renewals. For simplicity we consider continuous and discrete time separately. In the first case we mainly consider the renewal process rarefied by the Poisson process, in the second we analyze the process...
Takács, Lajos (1991)
Journal of Applied Mathematics and Stochastic Analysis
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