Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang[1] had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are...Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang[1] had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are weaker than Yang's corresponding moment conditions. Meanwhile, Banach spaces of type p(1 < p ≤2) are characterized. For 0<t<1, we prove that the corresponding results hold for independent random elements in any Banach space. As application we give the corresponding results for randomly indexed partial sums.展开更多
基金Supported by the Science Fund of Tongji University
文摘Under some conditions on probability, we discuss the results in [1] for the part r > 1, which Yang[1] had not solved, such that the convergence rates are solved thoroughly in this case. Obviously our conditions are weaker than Yang's corresponding moment conditions. Meanwhile, Banach spaces of type p(1 < p ≤2) are characterized. For 0<t<1, we prove that the corresponding results hold for independent random elements in any Banach space. As application we give the corresponding results for randomly indexed partial sums.
