On the Inequalities for Moments of Branching Random Processes

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Abstract

We consider branching random processes with immigration starting from a random number of items. In this work, we provide estimates from above for the moments of such processes.

About the authors

Ya. M. Khusanbayev

Romanovskiy Institute of Mathematics

Author for correspondence.
Email: yakubjank@mail.ru
Tashkent, Uzbekistan

Kh. E. Kudratov

National University of Uzbekistan

Email: qudratovh_83@mail.ru
Tashkent, Uzbekistan

References

  1. Ватутин В. А. Ветвящиеся процессы и их применения.- М.: МИАН, 2008.
  2. Севастьянов Б. А. Ветвящиеся процессы. - М.: Наука, 1971.
  3. Asmussen S., Hering H. Branching processes. - Boston etc.: Birkhauser, 1983.
  4. Athreya K. B., Ney P. E. Branching processes. - New York-Heidelberg: Springer, 1972.
  5. Barczy M., Nedenyi F. K., Pap G. On aggregation of multitype Galton-Watson branching processes with immigration// ArXiv. - 2018. - 1711.04099v2 [math.PR].
  6. Harris T. E. The theory of branching processes. - Berlin-Gottingen-Heidelberg: Springer, 1963.¨
  7. Kevei P., Wiandt P. Moments of the stationary distribution of subkritical multitype Galton-Watson processes with immigration// ArXiv. - 2020. - 2002.08848v1 [math.PR].
  8. Lin Z., Bai Z. Probability inequalities. - Berlin-Heidelberg: Springer, 2010.
  9. Nagaev S. V. Probabilistic inequalities for the Galton-Watson processes// Theory Probab. Appl. - 2015. - 59. - С. 611-640.
  10. Petrov V. V. Sums of independent random variables. - Berlin: Springer, 1972.

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