| 摘要: |
| 本文研究了B值行独立的随机元阵列的矩完全收敛性.利用B值行独立的随机元阵列的概率不等式,在随机元阵列随机有界于某非负随机变量的条件下,获得了 B值行独立的随机元阵列的矩完全收敛性的一些充分条件,并完善了Chow关于实值独立同分布随机变量列的矩完全收敛性的结果. |
| 关键词: B值随机元阵列 矩完全收敛性 p型Banach空间 独立 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:国家自然科学青年科学基金，安徽省高校省级自然科学重点项目 |
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| MOMENT COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS IN BANACH SPACE |
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GUO Ming-le,LI Qian
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GUO Ming-le,LI Qian(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China)
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| Abstract: |
| In this article,moment complete convergence for arrays of rowwise independent random elements in Banach space is investigated.By using the probability inequalities for the sum of rowwise independent random elements in Banach space,some suffcient conditions for moment complete convergence for arrays of rowwise independent random elements in Banach space stochastically bounded by a positive random variable are obtained.The result of Chow about the moment complete convergence for real valued independent random... |
| Key words: arrays of random elements in Banach space moment complete convergence Banach space of type p independent |
