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Laws of large numbers for weighted sums of random variables and random elements

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Publication:4730544
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DOI10.1007/BF02107671zbMath0681.60032MaRDI QIDQ4730544

Zheng Yan Lin

Publication date: 1989

Published in: Acta Mathematica Sinica (Search for Journal in Brave)


zbMATH Keywords

strong law of large numbersweak law of large numberssumsweighteddouble array of real numbers


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)


Related Items (1)

Approximations to weighted sums of random variables



Cites Work

  • On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
  • Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
  • Large deviations of sums of independent random variables
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