Coupling methods in approximations

DOI10.2307/3315038zbMath0594.60021OpenAlexW2004259215MaRDI QIDQ3725246

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Publication date: 1986

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315038

zbMATH Keywords

coupling methodsdistance in total variation between various discrete distributionsVasershtein coupling

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (4)

Compound Poisson process approximation for locally dependent real-valued random variables via a new coupling inequality ⋮ A multivariate extension of poisson's theorem ⋮ Poisson approximation of multivariate Poisson mixtures ⋮ On compound Poisson approximation for sums of random variables

Cites Work

• The Poisson approximation for dependent events
• A general Poisson approximation theorem
• An approximation theorem for the Poisson binomial distribution
• The Poisson Approximation to the Poisson Binomial Distribution
• Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen

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