LIMIT THEOREMS FOR SUPERCRITICAL MARKOV BRANCHING PROCESSES WITH NON-HOMOGENEOUS POISSON IMMIGRATION

被引：0
|
作者：
Hyrien, Ollivier [1 ]
Mitov, Kosto V. [2 ]
Yanev, Nikolay M. [3 ]
机构：
[1] Univ Rochester, Dept Biostat & Computat Biol, Rochester, NY 14642 USA
[2] Natl Mil Univ Vasil Levski, Fac Aviat, Pleven, Bulgaria
[3] Bulgarian Acad Sci, Inst Math & Informat, Dept Probabil & Stat, BU-1113 Sofia, Bulgaria
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2013年 / 66卷 / 04期
关键词：
branching processes; non-homogeneous Poisson immigration; cell kinetics; statistical inference;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper deals with Markov branching processes allowing immigration at random time points described by a non-homogeneous Poisson process. This class of processes generalizes a classical model proposed by Sevastyanov, which included a time-homogeneous Poisson immigration. The proposed model finds applications in cell kinetics studies. Limit theorems are obtained in the supercritical case. Some of these results extend the classical results derived by Sevastyanov, others offer novel insights as a result of the non-homogeneity of the immigration process.
引用
收藏
页码：485 / 492
页数：8
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