关于鞅差序列和的完全收敛性

关于鞅差序列和的完全收敛性 THE COMPLETE CONVERGENCE FOR PARTIAL SUMS OF MARTINGALE DIFFERENCE SEQUENCE 胡亦钧 Hu Yijun 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics, Wuhan University Department of Mathematics, Wuhan University 本文讨论B值鞅差序列非随机足标和与随机足标和的完全收敛性。通过对各分量的矩及空间几何性质的限制,得到了完全收敛性的若干充分条件。这些条件推广了白志东等人的部分结果。 The purpose of this paper is to discuss the complete convergence for the partial sums and the random selected partial sums of B-valued martingale difference sequences. Under the restrictions on the geometric properties of the spaces, sufficient conditions in terms of the moments of summands are obtianed. Some results of Bai and Others are extended. B值鞅差序列 完全收敛 慢变化函数 p阶光滑空间 B-valued martingale difference sequence complete convergence slowly variable function p-smooth space 1990-04-01 2021-04-01 4