Coupling and Poisson approximation

DOI10.1007/BF00994254zbMath0802.60021MaRDI QIDQ1323513

Svante Janson

Publication date: 15 December 1994

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

random graphsPoisson approximationscouplingsexplicit boundsStein-Chen methodtotal variation distanceoccupancy problemsmatching problemssums of indicator variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Distribution theory (60E99)

Related Items (10)

POISSON APPROXIMATION FOR THE COUPON COLLECTOR’S PROBLEM ⋮ THE ESTIMATION OF ERROR ON POISSON APPROXIMATION FOR THE MÉNAGE PROBLEM ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ The Poisson binomial distribution -- old \& new ⋮ Unnamed Item ⋮ An Improvement of Poisson Approximation for Sums of Dependent Bernoulli Random Variables ⋮ On the $AC^0$ Complexity of Subgraph Isomorphism ⋮ New non-uniform bounds on Poisson approximation for dependent Bernoulli trials ⋮ Higher-order fluctuations in dense random graph models ⋮ Minimum weight disk triangulations and fillings

Cites Work

• Poisson approximation for dependent trials
• Negative association of random variables, with applications
• On the rate of Poisson convergence
• Association of Random Variables, with Applications
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• Unnamed Item

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