A nonuniform bound for the approximation of Poisson binomial by Poisson distribution

DOI10.1155/S0161171203212229zbMath1033.60027MaRDI QIDQ1415159

K. Neammanee

Publication date: 3 December 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50659

zbMATH Keywords

Poisson approximationnonuniform bounds

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

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POISSON APPROXIMATION FOR THE COUPON COLLECTOR’S PROBLEM ⋮ THE ESTIMATION OF ERROR ON POISSON APPROXIMATION FOR THE MÉNAGE PROBLEM ⋮ Bounds for the approximation of Poisson-binomial distribution by Poisson distribution ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Nonuniform Approximations for Sums of Discrete m-Dependent Random Variables ⋮ A non-uniform bound on Poisson approximation in somatic cell hybrid model ⋮ On bounds in Poisson approximation for integer-valued independent random variables ⋮ New non-uniform bounds on Poisson approximation for dependent Bernoulli trials ⋮ Some results on approximation for distributions of random sums by Poisson distribution ⋮ Poisson approximation for call function via Stein-Chen method

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