A note on the approximation of the uniform empirical process

DOI10.1214/aop/1176990941zbMath0703.60029OpenAlexW1970405280MaRDI QIDQ916201

Péter Major

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/1176990941

zbMATH Keywords

empirical distribution functionApproximations of the empirical processBrownian bridge approximation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (9)

Compound Poisson approximation ⋮ Kac's representation from an asymptotic viewpoint ⋮ Poisson approximation of the partial sum process in Banach spaces ⋮ Rescaled range analysis in the presence of stochastic trend ⋮ Optimal Poisson approximation of uniform empirical processes ⋮ On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ Kac's representation for empirical copula process from an asymptotic viewpoint ⋮ Poisson and Gaussian approximation of weighted local empirical processes ⋮ Poisson approximation

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