报告题目: |
A Refinement of the Kolmogorov-Marcinkiewicz-Zygmund Strong Law of Large Numbers |
报告人: |
Prof.Li Deli |
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Department of Mathematical Sciences, Lakehead University, Canada
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报告时间: |
2010-12-23 14:00 |
报告地点: |
理科楼 B-203（原2203） |
主办单位: |
数学科学系 |
简介: |
For the partial sums formed from a sequence of i.i.d. random variables having a finite absolute p'th moment for some p in (0,2), we extend the recent and striking discovery of Hechner and Heinkel (Journal of Theoretical Probability (2010)) concerning "complete moment convergence" to the two cases p in (0,1) and p=1. Moreover, for p in (0, 2), we obtain "almost sure convergence" analogues of these "complete moment convergence" results and these "almost sure convergence" analogues may be regarded as being a refinement of the celebrated Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers. Versions of the above results in a Banach space setting are also presented. |
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