A note on the rate of Poisson approximation of empirical processes

DOI10.1214/aop/1176990855zbMath0704.60027OpenAlexW2051888158MaRDI QIDQ917151

Lajos Horváth

Publication date: 1990

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990855

zbMATH Keywords

empirical processPoisson processempirical distributionstrong invariance principle

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Kac's representation from an asymptotic viewpoint ⋮ Poisson approximation of the partial sum process in Banach spaces ⋮ Poisson convergence for set-indexed empirical processes ⋮ Optimal Poisson approximation of uniform empirical processes ⋮ On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ Poisson approximation of empirical processes ⋮ Poisson and Gaussian approximation of weighted local empirical processes

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