PDF(396 KB)
PDF(396 KB)
PDF(396 KB)
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.
随机环境 / 生灭过程 / 常返 / 非常返 {{custom_keyword}} /
random environments / birth and death process / recurrence / transience {{custom_keyword}} /
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