The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction
The Entrance Space of a Measure-Valued Markov Branching Process Conditioned on Non-Extinction
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DOI：
10.4153/cmb-1992-010-8
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发表时间：
1992-03
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影响因子：
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通讯作者：
S. Evans
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文献类型：
--
作者：
S. Evans
摘要我们明确地确定了一类测度值过程的可能概率入口律，这类测度值过程是通过取一个特定的测度值马尔可夫分支过程并使其远离零测度陷阱而构造的。入口空间的极值点的集合大于条件过程的状态空间，并且包含对应于在零测度处开始条件过程的元素。
Abstract We explicitly identify the possible probability entrance laws for a class of measure-valued processes that are constructed by taking a particular measure-valued Markov branching process and conditioning it to stay away from the zero measure trap. The set of extreme points of the entrance space is larger than the state space of the conditioned process, and contains elements which correspond to starting the conditioned process at the zero measure.