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On local estimates and the Stein method

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Publication:1763108
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DOI10.3150/bj/1093265635zbMath1055.62017OpenAlexW2000436403MaRDI QIDQ1763108

Vydas Čekanavičius

Publication date: 21 February 2005

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1093265635


zbMATH Keywords

total variation


Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)


Related Items (1)

A Charlier-Parseval approach to Poisson approximation and its applications



Cites Work

  • Asymptotic expansions in the Poisson limit theorem
  • Approximations of distributions of sums of lattice random variables. I
  • Compound Poisson approximation for nonnegative random variables via Stein's method
  • Some asymptotic and large deviation results in Poisson approximation
  • Poisson approximation for dependent trials
  • Stein's method and birth-death processes
  • Total variation asymptotics for sums of independent integer random variables
  • Compound Poisson approximation: A user's guide
  • Compound Poisson approximation for unbounded functions on a group, with application to large deviations
  • Poisson perturbations
  • Kerstan's Method in the Multivariate Poisson Approximation: An Expansion in the Exponent
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