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An Improvement of Poisson Approximation for Sums of Dependent Bernoulli Random Variables

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Publication:5419681
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DOI10.1080/03610926.2012.674606zbMath1295.60031OpenAlexW1990692514MaRDI QIDQ5419681

Kanint Teerapabolarn

Publication date: 11 June 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.674606

zbMATH Keywords

Poisson approximationStein-Chen methodcumulative distribution functionnon-uniform boundBernoulli random variable


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Special processes (60K99) Foundations of stochastic processes (60G05)


Related Items

Poisson approximation for a sum of negative binomial random variables



Cites Work

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  • A bound on the Poisson-binomial relative error
  • Two moments suffice for Poisson approximations: The Chen-Stein method
  • Poisson, compound Poisson and process approximations for testing statistical significance in sequence comparisons
  • Poisson approximation for dependent trials
  • Coupling and Poisson approximation
  • Sequence comparison significance and Poisson approximation
  • A non-uniform bound on Poisson approximation in somatic cell hybrid model
  • A use of the Stein-Chen method in time series analysis
  • Poisson convergence and random graphs
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