Limiting Distributions for Multitype Branching Processes.
Limiting Distributions for Multitype Branching Processes.
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DOI：
10.1080/07362994.2010.515486
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发表时间：
2010
影响因子：
1.3
通讯作者：
Yanev NM
中科院分区：
文献类型：
--
作者：
Yakovlev AY;Yanev NM
In this paper the asymptotic behavior of multitype Markov branching processes with discrete or continuous time is investigated in the positive regular and nonsingular case when both the initial number of ancestors and the time tend to infinity. Some limiting distributions are obtained as well as multivariate asymptotic normality is proved. The paper considers also the relative frequencies of distinct types of individuals which is motivated by applications in the field of cell biology. We obtained non-random limits for the frequencies and multivariate asymptotic normality when the initial number of ancestors is large and the time of observation increases to infinity. In fact this paper continues the investigations of Yakovlev and Yanev where the time was fixed. The new obtained limiting results are of special interest for cell kinetics studies where the relative frequencies but not the absolute cell counts are accessible to measurement.
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影响因子：
4.3
作者：
Hyrien, O;Mayer-Pröschel, M;Yakovlev, A
通讯作者：
Yakovlev, A
影响因子：
1
作者：
LINDVALL, T
通讯作者：
LINDVALL, T
影响因子：
1
作者：
Dion, JP;Yanev, NM
通讯作者：
Yanev, NM
影响因子：
1.3
作者：
Drmota, M;Louchard, G;Yanev, NM
通讯作者：
Yanev, NM
DOI：
10.1073/pnas.95.24.14164
发表时间：
1998-11-24
影响因子：
11.1
作者：
Yakovlev, AY;Boucher, K;Noble, M
通讯作者：
Noble, M