Metric Multivariate Poisson Approximation of the Generalized Multinomial Distribution

DOI10.1137/S0040585X97976921zbMath0951.60013OpenAlexW2015754044MaRDI QIDQ4954363

Bero Roos

Publication date: 6 June 2000

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97976921

zbMATH Keywords

total variationgeneralized multinomial distributionpoint metricmultivariate Poisson distributionmultivariate Charlier B expansion

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (9)

Poisson approximation for expectations of unbounded functions of independent random variables ⋮ Approximating dependent rare events ⋮ Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors ⋮ Refined total variation bounds in the multivariate and compound Poisson approximation ⋮ Sharp constants in the Poisson approximation ⋮ Estimating diversity via frequency ratios ⋮ On the bivariate Erdős–Kac theorem and correlations of the Möbius function ⋮ Poisson approximation of multivariate Poisson mixtures ⋮ On the rate of multivariate Poisson convergence

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