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部分和乘积的几乎处处中心极限定理的推广

Generalization for Almost Sure Central Limit Theorem for the Product of Partial Sums
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摘要 讨论了独立同分布序列部分和的乘积的几乎处处中心极限定理,并将独立同分布序列部分和乘积的几乎处处中心极限定理的权重由dk=1/k推广到dk=(lnλk)/k(-1<λ)的情形。 Almost sure central limit theorem for the product of the partial sums of independent and identically distributed is discussed,and the weight dk=1/k generalized to dk=(ln λk)/k(-1〈λ).
出处 《桂林理工大学学报》 CAS 北大核心 2011年第1期156-159,共4页 Journal of Guilin University of Technology
基金 国家自然科学基金项目(10661006) 广西研究生教育创新计划项目(2009105960202M29)
关键词 独立同分布 部分和 几乎处处中心极限定理 independent and identically distributed(i.i.d.) partial sums almost sure central limit theorem
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参考文献10

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二级参考文献9

  • 1Mi-Hwa Ko,Tae-Sung Kim,Kwang-Hee Han.A Note on the Almost Sure Convergence for Dependent Random Variables in a Hilbert Space[J]. Journal of Theoretical Probability . 2009 (2)
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  • 9陈晓林,吴群英,邓光明.两两NQD列的完全收敛和强大数定律[J].桂林理工大学学报,2010,30(2):321-323. 被引量:2

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