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一类生灭过程的渐近性质
引用本文:薛玲霞,陈丽. 一类生灭过程的渐近性质[J]. 河南师范大学学报(自然科学版), 2013, 41(4): 27-29
作者姓名:薛玲霞  陈丽
作者单位:1. 郑州大学数学系,郑州450052;郑州旅游职业学院基础部,郑州450009
2. 郑州师范学院数学与统计学院,郑州,450044
摘    要:根据生灭过程的自然尺度与标准测度的概率意义,研究了生灭过程的发散问题和一类生灭过程的渐近性质:一类生灭过程{Xt}t≥0在t→∞时,Xt是将以g(t)=(1+8t)1/2-1/2的方式发散到∞.

关 键 词:生灭过程  自然尺度  标准测度

Divergent Rate of a Class of Birth-Death Processes
XUE Lingxia , CHEN Li. Divergent Rate of a Class of Birth-Death Processes[J]. Journal of Henan Normal University(Natural Science), 2013, 41(4): 27-29
Authors:XUE Lingxia    CHEN Li
Affiliation:1.Department of Mathematics,Zhengzhou University,Zhengzhou 450052,China;2.Department of Basics,Zhengzhou Tourism College,Zhengzhou 450009,China;3.Department of Mathematics,Zhengzhou Normal University,Zhengzhou 450044,China)
Abstract:Based on the probability signicance of natural scale and standard measure birth-death process,this paper studied the asymptotic properties of the divergence of birth-death process and a birth and death process,A class of birth-death process in{Xt}t≥0t→∞,Xtis going to g(T)=(1+8t)1/2-1/2 divergence to ∞.
Keywords:birth-death process  natural scale  standard measure
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