A Berry-Esseen Bound for Linear Combinations of Order Statistics

DOI10.1080/02331889808802633zbMath0904.62062OpenAlexW2019630684MaRDI QIDQ3842723

Gyula Pap, Martien C. A. Van Zuijlen

Publication date: 25 January 1999

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2066/163781

zbMATH Keywords

law of large numbersBerry-Esseen boundStringer boundlinear combinations of order statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Cites Work

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• A Berry-Esseen bound for functions of independent random variables
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• Facts, phantasies, and a new proposal concerning the Stringer bound
• Berry-Esseen bounds for statistics of weakly dependent samples
• The Stringer bound in case of uniform taintings
• A Berry-Esseen bound for symmetric statistics
• Approximation Theorems of Mathematical Statistics
• Inference and Auditing: The Stringer Bound
• On the asymptotic behaviour of the Stringer bound1