A LAW OF LARGE NUMBERS ON RANDOMLY DELETED SETS
成果类型：
Article
署名作者：
Rothmann, Mark D.; Russo, Ralph P.
署名单位：
University System of Georgia; Georgia Institute of Technology; University of Iowa
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1997
页码：
170-182
关键词：
摘要：
Consider a system into which units having random magnitude enter at arbitrary times and remain active (present in the system) for random periods. Suppose units of high magnitude have stochastically greater lifetimes ffi tend to stay active for longer periods. than units of low magnitude. Of interest is the process {mu(t): t >= 0}, where mu(t) denotes the average magnitude of all units active at time t. We give conditions which guarantee the convergence of mu(t) and we determine the form of the limit. Some related processes are also studied.