B值随机向量的不等式及其应用

INEQUALITY FOR B-VALUED RANDOM VECTORS AND APPLICATIONS

文章对Ｂａｎａｃｈ空间中的独立随机无序列给出了一个有用的不等式，由此得到了Ｂ值随机向量的Ｍａｒｃｉｎｋｉｅｗｉｃｚ强大数定律成立的充分必要条件。

n this peper, an inequality for Banach space valued random vectors are proved. As an application some results on the strong Law of large numbers are obtained.