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A note on asymptotics of linear combinations of IID random variables

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Publication:532108
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DOI10.1007/s10998-010-1025-7zbMath1224.60033OpenAlexW2070503653WikidataQ64023164 ScholiaQ64023164MaRDI QIDQ532108

Péter Kevei

Publication date: 26 April 2011

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-010-1025-7


zbMATH Keywords

asymptotic normalitydomain of attractionlinear combinations


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items

Unnamed Item ⋮ Large-deviation asymptotics of condition numbers of random matrices



Cites Work

  • Merging of linear combinations to semistable laws
  • Merging asymptotic expansions for cooperative gamblers in generalized St. Petersburg games
  • A Skorohod representation and an invariance principle for sums of weighted i.i.d. random variables
  • A strong law for weighted averages of independent, identically distributed random variables with arbitrarily heavy tails
  • A weighted central limit theorem
  • Pooling strategies for St. Petersburg gamblers
  • Some Extensions of the Wald-Wolfowitz-Noether Theorem
  • On the Extension of the Class of Stable Distributions
  • Convergence of weighted averages of independent random variables
  • Unnamed Item
  • Unnamed Item
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