On the Inequalities for Moments of Branching Random Processes

被引：0

作者：

Khusanbayev Y. ^{[1
]}

Kudratov K. ^{[2
]}

机构：

[1] Romanovskiy Institute of Mathematics, Tashkent

[2] National University of Uzbekistan, Tashkent

来源：

Journal of Mathematical Sciences | 2024年 / 278卷 / 4期

关键词：

branching process; Galton–Watson process; generating function; immigration; moment;

D O I：

10.1007/s10958-024-06950-3

中图分类号：

学科分类号：

摘要：

We consider branching random processes with immigration starting from random number of items. In this work we provide estimations from above for the moments of such processes. © Springer Nature Switzerland AG 2024.

引用

页码：703 / 711

页数：8

共 10 条

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[5] Kevei P., Wiandt P., Moments of the Stationary Distribution of Subkritical Multitype Galton–Watson Processes with immigration,” Arxiv, 2002, (2020)
[6] Lin Z., Bai Z., Probability Inequalities, (2010)
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[8] Petrov V.V., Sums of Independent Random Variables, (1972)
[9] Sevast'Yanov B.A., Branching Processes [In Russian], (1971)
[10] Vatutin V.A., Branching Processes and Their Applications, (2008)

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