On smoothing properties of compound Poisson distributions

DOI10.1007/BF02341490zbMath0868.60013OpenAlexW4254892440MaRDI QIDQ1925159

Vydas Čekanavičius

Publication date: 25 August 1997

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

Full work available at URL: https://doi.org/10.1007/bf02341490

zbMATH Keywords

compound Poissonrandom sum

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items

An expansion in the exponent for compound binomial approximations, Refined total variation bounds in the multivariate and compound Poisson approximation, Compound binomial approximations

Cites Work

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• Approximation with accompanying distributions and asymptotic expansions. II
• Error bounds for the compound Poisson approximation
• Approximation with accompanying distributions and asymptotic expansions. I
• Approximation of aggregate claims distributions by compound Poisson distributions
• Estimates for the closeness of successive convolutions of multidimensional symmetric distributions
• A compound Poisson convergence theorem
• Approximation of mixture of distributions
• Compound Poisson approximation for nonnegative random variables via Stein's method
• On the Accuracy of Approximation of Distributions of Sums of Independent Random Variables—Which are Nonzero with a Small Probability—By Means of Accompanying Laws
• Approximation of sums by compound Poisson distributions with respect to stop-loss distances
• On the Approximation of n-Fold Convolutions of Distributions having Non-Negative Characteristic Functions with Accompanying Laws
• Two Inequalities for Symmetric Processes and Symmetric Distributions
• On the Rate of Approach of the Distributions of Sums of Independent Random Variables to Accompanying Distributions