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

Azam A. Imomov; Abror Kh. Meyliev

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arXiv · 2006.09857

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

Azam A. Imomov·Abror Kh. Meyliev

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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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Azam A. Imomov, Abror Kh. Meyliev. 2020-06-16. On asymptotic structure of continuous-time Markov Branching Processes allowing Immigration and without high-order moments. https://arxiv.org/abs/2006.09857

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