New non-uniform bounds on Poisson approximation for dependent Bernoulli trials

DOI10.1007/s40840-014-0014-zzbMath1325.60020OpenAlexW2070315802MaRDI QIDQ2017709

Kanint Teerapabolarn

Publication date: 23 March 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0014-z

zbMATH Keywords

Poisson approximationBernoulli random variablesStein-Chen methodnon-uniform bounds

Mathematics Subject Classification ID

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

Related Items (1)

Poisson approximation for call function via Stein-Chen method

Cites Work

• On the Poisson approximation to the negative hypergeometric distribution
• 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
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• A nonuniform bound for the approximation of Poisson binomial by Poisson distribution
• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• 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
• О пуассоновской аппроксимации для распределения числа пустых ячеек в неоднородной схеме размещения
• Poisson convergence and random graphs
• Applied Probability
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