Stein factors for negative binomial approximation in Wasserstein distance

DOI10.3150/14-BEJ595zbMath1329.62077arXiv1310.6074OpenAlexW2141596282MaRDI QIDQ2348733

Yanyan Li

Publication date: 15 June 2015

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6074

zbMATH Keywords

Stein's methodWasserstein distanceStein factorsnegative binomial approximationparasite model

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Characterization and structure theory of statistical distributions (62E10) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (5)

Compound Poisson approximation ⋮ Compound Poisson approximations in \(\ell_p\)-norm for sums of weakly dependent vectors ⋮ Stein factors for variance-gamma approximation in the Wasserstein and Kolmogorov distances ⋮ Approximation of stable law in Wasserstein-1 distance by Stein's method ⋮ Hitting time and mixing time bounds of Stein's factors

Cites Work

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• A renewal equation with a birth-death process as a model for parasitic infections
• Stein's method and birth-death processes
• On Stein's factors for Poisson approximation in Wasserstein distance
• ON SOME MODES OF POPULATION GROWTH LEADING TO R. A. FISHER'S LOGARITHMIC SERIES DISTRIBUTION

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