Poisson and compound Poisson approximations for random sums of random variables

DOI10.2307/3215270zbMath0854.60013OpenAlexW4238102802MaRDI QIDQ4877410

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Publication date: 13 January 1997

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215270

zbMATH Keywords

total variationrandom sumsPoisson and compound Poisson approximationcluster binomial and multinomial distributions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

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On the stop-loss and total variation distances between random sums ⋮ Compound Poisson approximation to convolutions of compound negative binomial variables ⋮ On compound Poisson approximation for sums of random variables ⋮ AN EXTENSION OF RANDOM SUMMATIONS OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES ⋮ On the number of overflown urns and excess balls in an allocation model with limited urn capacity

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