Optimal Poisson approximation of uniform empirical processes

DOI10.1016/S0304-4149(96)00075-0zbMath0879.60030MaRDI QIDQ1374629

José A. Adell, Jesús De La Cal

Publication date: 10 December 1997

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

zbMATH Keywords

Poisson approximationuniform empirical processFortet-Mourier-Wasserstein distance

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Stochastic processes (60G99) Limit theorems in probability theory (60F99)

Related Items (2)

On the rate of Poisson approximation to Bernoulli partial sum processes ⋮ Best constants in global smoothness preservation inequalities for some multivariate operators

Cites Work

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• A note on the approximation of the uniform empirical process
• A note on the rate of Poisson approximation of empirical processes
• A new semigroup technique in Poisson approximation
• A simple coupling of renewal processes
• Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials

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