右半直线上依分布收敛的独立随机环境中的生灭过程的常返性

Recurrence of Birth and Death Process in an Independent Random Environment Convergence in Distribution on the Half-Line

讨论了一类独立随机环境中的生灭过程的常返性.在假定环境满足一定的条件下证明一个强大数定律,并应用此大数定律给出了该生灭过程的常返和非常返的判别准则.

We discuss the recurrence of birth and death process in a class of random environments. Under some special conditions, a strong law of large number is proven, and then applied it to discuss its recurrence and transience.