关于图值随机元序列的强极限定理
ON SOME LIMIT THEOREMS FOR GRAPH-VALUED RANDOM ELEMENTS

本文研究在局部连通图中取值的随机元的r-阶均值集、r-阶广义样本均值集的基本性质及其极限性质.利用关于随机元的分离引理以及随机游动的常返性，得到了关于图值随机元序列广义强大数定理.推广了已有的结果.
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