论文标题

在连续时间马尔可夫分支过程的渐近结构上,允许移民且没有高阶矩

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

论文作者

Imomov, Azam A., Meyliev, Abror Kh.

论文摘要

我们观察到不连续的马尔可夫分支过程,没有高阶时刻并允许移民。研究了过渡函数的限制特性及其与不变措施的收敛性。主要的数学工具定期将生成功能与余数变化。

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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