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Weak convergence using higher-order cumulants

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Publication:1200248
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DOI10.1007/BF01058728zbMath0759.60018OpenAlexW1990968446MaRDI QIDQ1200248

Geoffrey R. Grimmett

Publication date: 17 January 1993

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058728


zbMATH Keywords

weak convergencecumulanthigher-order cumulants


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)


Related Items

Statistical inference using higher-order information ⋮ Mod-ϕ Convergence, II: Estimates on the Speed of Convergence



Cites Work

  • Some extensions of a theorem of Marcinkiewicz
  • Some further extensions of a theorem of Marcinkiewicz
  • Central limit theorems for associated random variables and the percolation model
  • Central limit theorems for percolation models
  • Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
  • Sur une propriété de la loi de Gauss
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