Near-constancy phenomena in branching processes
Near-constancy phenomena in branching processes
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DOI：
10.1017/s0305004100070614
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发表时间：
1991-11
影响因子：
0.8
通讯作者：
J. Biggins;N. Bingham
中科院分区：
文献类型：
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作者：
J. Biggins;N. Bingham
在（简单）分支过程理论的某些方面，某些“近恒常现象”的出现构成了下面工作的背景。这个问题是由Karlin和McGregor [8，9]的工作引起的。Dubuc[7]对Karlin-McGregor近恒常现象的理论和数值方面进行了详细研究，Bingham[4]对此进行了进一步研究。我们给出了一个新的方法，简化和推广这些作者的结果。这样做的主要动机是Barlow和Perkins [3]最近的工作，他们在当时已知的结果没有立即涵盖的框架中观察到了近乎恒定性。
The occurrence of certain ‘near-constancy phenomena’ in some aspects of the theory of (simple) branching processes forms the background for the work below. The problem arises out of work by Karlin and McGregor [8, 9]. A detailed study of the theoretical and numerical aspects of the Karlin–McGregor near-constancy phenomenon was given by Dubuc[7], and considered further by Bingham[4]. We give a new approach which simplifies and generalizes the results of these authors. The primary motivation for doing this was the recent work of Barlow and Perkins [3], who observed near-constancy in a framework not immediately covered by the results then known.