Large and moderate deviations for \(L\)-statistics

DOI10.1007/BF00970812zbMath0787.60035MaRDI QIDQ1175827

A. K. Aleshkyavichene

Publication date: 25 June 1992

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

order statistics\(U\)-statistic\(L\)-statisticlarge and moderate deviationLinnik-type condition

Mathematics Subject Classification ID

Large deviations (60F10)

Related Items (5)

Asymptotic results for linear combinations of spacings generated by i.i.d. exponential random variables ⋮ Large deviation principle for moderate deviation probabilities of bootstrap empirical measures ⋮ Cramér-type moderate deviations for intermediate trimmed means ⋮ Cramér type moderate deviations for trimmed \(L\)-statistics ⋮ Delta method in large deviations and moderate deviations for estimators

Cites Work

• Cramér type large deviations for generalized rank statistics
• Cramer type large deviations for linear combinations of order statistics
• Probabilities of large deviations for L-statistics
• Approximation Theorems of Mathematical Statistics
• A cramer type large deviation theorem for trimmed linear combinations of order statistics
• [https://portal.mardi4nfdi.de/wiki/Publication:4140066 Asymptotische Entwicklungen f�r Wahrscheinlichkeiten gro�er Abweichungen]
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