On exact rates of convergence in functional limit theorems for \(U\)- statistic type processes

DOI10.1007/BF02214367zbMath0813.60020MaRDI QIDQ1337943

Dietmar Ferger

Publication date: 14 November 1994

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

invariance principleHungarian constructionBerry-Esseen boundProkhorov distancechangepoint estimators\(U\)-statistics and processes

Mathematics Subject Classification ID

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

Related Items (2)

A large sample property in approximating the superposition of i.i.d. finite point processes ⋮ Exponential and polynomial tailbounds for change-point estimators

Cites Work

• Unnamed Item
• Invariance principles for changepoint problems
• Convergence of changepoint estimators
• An exact rate of convergence in the functional central limit theorem for special martingale difference arrays
• On the Rate of Convergence for the Invariance Principle
• On an Estimate of A. A. Borovkov
• Probability Inequalities for Sums of Bounded Random Variables

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