摘要
该文证明了一类B值随机元序列的Rosenthal不等式,一些经典的Rosenthal不等式作为其推论被蕴含其中.作为不等式的应用,还给出了行为鞅差随机元的阵列的完全收敛性的一些结果,推广和改进了一些熟知的结论.
In this paper the author proves Rosenthal＇s inequality for B-valued random element sequences,which contains classical Rosenthal＇s inequalities as its corollaries.As an application, some results on the complete convergence for arrays of rowwise martingale difference random elements are obtained.Some well-known results are improved and extended.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2010年第2期327-334,共8页
Acta Mathematica Scientia
基金
国家自然科学基金(10671149)资助
