数学杂志2017，Vol.37Issue(1)：118-128,11.
关于图值随机元序列的强极限定理
ON SOME LIMIT THEOREMS FOR GRAPH-VALUED RANDOM ELEMENTS
摘要
Abstract
In this paper, the authors discuss the basic properties of the general rth order mean set and rth order sample mean set of random elements, which take values on a locally connected graph, and the limit properties of them. By applying the separation lemma of random elements and the recurrence of random walk, we obtain the general strong law of large numbers for graph-valued random elements. Moreover, we generalize the existing results.关键词
强大数定律/图/r -阶权函数/r -阶均值集/r -阶广义样本均值/随机游动Key words
general strong law of large numbers/graph/r-th order weight function/r-th order mean set/r-th order sample mean set/random walk分类
数理科学引用本文复制引用
汪忠志,李文喜..关于图值随机元序列的强极限定理[J].数学杂志,2017,37(1):118-128,11.基金项目
国家自然科学基金(11071104) （11071104）
国家社会科学基金(13BJY011) （13BJY011）
安徽省自然科学基金(1308085QF113 （）
1408085MA04) （）
安徽工业大学研究生创新基金(2012090)资助 （2012090）
