Refined total variation bounds in the multivariate and compound Poisson approximation

zbMath1364.60033arXiv1509.04167MaRDI QIDQ5346027

Bero Roos

Publication date: 8 June 2017

Full work available at URL: https://arxiv.org/abs/1509.04167

zbMATH Keywords

convolutionsigned measurePoisson process approximationgeneralized multinomial distributionKerstan's methodmeasurable abelian semigroupsmoothness inequality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Multivariate Poisson and Poisson process approximations with applications to Bernoulli sums and -statistics ⋮ Compound Poisson approximation ⋮ Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors

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