Note on nonuniform estimate for compound Poisson approximations to \(2\)-runs

DOI10.1007/S10986-011-9116-6zbMath1227.60041OpenAlexW2047076703MaRDI QIDQ647152

Jūratė Petrauskienė, Vydas Čekanavičius

Publication date: 1 December 2011

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-011-9116-6

zbMATH Keywords

Wasserstein metriccompound Poisson approximation2-runsnonuniform estimate

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Limit theorems in probability theory (60F99)

Related Items (1)

Nonuniform Approximations for Sums of Discrete m-Dependent Random Variables

Cites Work

• Compound Poisson approximations for sums of 1-dependent random variables. I
• Approximation of sums of conditionally independent variables by the translated Poisson distribution
• On a relationship between Uspensky's theorem and Poisson approximations
• Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors
• Non-uniform theorems for discrete measures
• On Negative Binomial Approximation to k-Runs
• Poisson perturbations

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