On the optimality of multivariate Poisson approximation

DOI10.1016/0304-4149(93)90038-6zbMath0764.60030OpenAlexW1986106714MaRDI QIDQ1208932

Hans-Jürgen Witte

Publication date: 16 May 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(93)90038-6

zbMATH Keywords

recordsPoisson approximationsPoisson point processextremal processesBernoulli point processesmaximal couplings

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

Pseudo-Poisson approximation for Markov chains

Cites Work

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• Some Poisson approximations using compensators
• A semigroup approach to Poisson approximation
• Operator semigroups and Poisson convergence in selected metrics
• Partitions of point processes: Multivariate Poisson approximations
• Poisson approximations of multinomial distributions and point processes
• Poisson approximations for time-changed point processes
• A new semigroup technique in Poisson approximation
• A general Poisson approximation theorem
• The Poisson Theorem and Markov Chains
• Weak and Strong Convergence of the Distributions of Counting Processes
• On the rate of Poisson convergence
• Extremal processes, secretary problems and the 1/e law
• A general poisson approximation theorem
• Asymptotic Behavior of the Multinomial Dstribution
• Extremal processes and record value times
• The structure of extremal processes
• A unification of some approaches to Poisson approximation