摘要
称一序列(v_n,n>1）是延迟更新序列当且仅当它是转移概率序列(p_(ij)（n）,n>1）。在本文我们证明了延迟更新序列半群具有性质ILID（即无穷小阵的极限是无穷可分的）,并且证明了正延迟更新序列半群是一Delphic半群。
A sequence (vn, n ≥ 1) is called a delayed renewal sequence if and only if it is a transition probability sequence (pij(n), n ≥ 1) of a Markov chain for some i and j. In this paper, we prove that the delayed renewal sequence semigroup has property ILID (that is, an infinitesimal array limit is infinitely devisible), and that the.semigroup of positive delayed renewal sequences is a Delphic semigroup.
出处
《应用概率统计》
CSCD
北大核心
1996年第2期116-120,共5页
Chinese Journal of Applied Probability and Statistics
基金
Partially supported by the National Natural Science Foundation of China and the Province Natural Science Foundation of Guangdong of China
