一类生灭过程的渐近性质

Divergent Rate of a Class of Birth-Death Processes

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∞.

Based on the probability signicance of natural scale and standard measure birth-death process, this paper stud- ied 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→∞, Xt is going to g（T）=divergence to ∞.