B值m相依随机元序列的完全收敛性

Complete Convergence of m-dependent Random B-valued Elements

设｜Xn;n≥1｜是均值为零的B值m相依随机元序列,X1∈CL（B）,对于1≤t〈2,r〉1有E‖X1‖^rt〈＋∞,记Sn=∑ni=1Xi.利用构造法证明了｜Xn;n≥1｜的完全收敛性.

Let ｜Xn;n≥1｜ be a sequence of m-dependent B-valued random elements with mean zeros, and X1∈CL（B）,对于1≤t〈2,r〉1, we have E‖X1‖^rt〈＋∞,记Sn=∑ni=1Xi.. By the method of constructing, we prove the complete convergence of the sequence {Xn;n≥1}.