B值拟鞅Rosenthal型不等式
ROSENTHAL TYPE INEQUALITY OF B-VALUED QUASI-MARTINGALE

本文研究了拟鞅Rosenthal型不等式的问题.利用好λ不等式得到拟鞅Rosenthal型不等式与值空间几何性质间的等价刻画,进而得到大数定律.这些结论丰富了已有结果.
In this paper we discuss the Rosenthal type inequality of quasi-martingale. By using good λ inequality, we prove that Rosenthal type inequality of quasi-martingale and geometric properties of Banach space are equivalent. As a consequence, we prove the law of large numbers. These conclusions generalize some known results