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实值鞅差序列的Euler大数定律

The Euler’s law of large numbers for a real valued martingale differences
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摘要 研究了实值鞅差序列的Euler大数定律。 In this paper, the law of large numbers of sums in Euler's sense for a real valued martingale differences is investigated.It is obtained that the sufficient conditions for the Euler's sums of a real valued martingale difference sequence could satisfy the strong and weak law of large numbers.
作者 刘吉定
出处 《武汉化工学院学报》 1999年第1期86-89,共4页 Journal of Wuhan Institute of Chemical Technology
关键词 鞅差序列 加权和 条件期望 概率论 极限 martingale differences weighted sums conditional expectation
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  • 1Chow Y S. Delayed sums of Borel summability of independent identically distributed random variables.Bull Inst Math Acad Sinica,1973,1:207-220.
  • 2Lai T L. Convergent rates in the strong law of large numbers for random variables taking values in a Banach space. Bull Inst Math Acad Sinica, 1974,2:67-85.
  • 3Bozorgnia A,Rao M B. On summability methods and limit thorems for Banach space valued random variables. Bull Inst Math Acad Sinica,1979,7(1):l-6.
  • 4刘吉定.Banach空间中的Euler弱大数定律[J].武汉化工学院学报,1998,20(3):83-85. 被引量:3

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