On asymptotic structure of continuous-time Markov Branching Processes allowing Immigration and without high-order moments

Published 16 Jun 2020 in math.PR | (2006.09857v1)

Abstract: We observe the continuous-time Markov Branching Process without high-order moments and allowing Immigration. Limit properties of transition functions and their convergence to invariant measures are investigated. Main mathematical tool is regularly varying generating functions with remainder.

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