Stability of order statistics under dependence

DOI10.1023/A:1014681708984zbMath1003.62046OpenAlexW1563469749MaRDI QIDQ1603024

Tomasz Rychlik

Publication date: 24 June 2002

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014681708984

zbMATH Keywords

stabilityorder statisticssharp boundindependent samplesdependent-samplesHoelder inequalityidentically distributed variablesMoriguti's monotone approximationp-th central absolute moment

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items (6)

Reliability properties of systems with exchangeable components and exponential conditional distributions ⋮ Bounds on expectations ofL-estimates for maximally and minimally stable samples ⋮ Stability of expected \(L\)-statistics against weak dependence of observations ⋮ P-norm bounds for moments of progressive type II censored order statistics. ⋮ BOUNDS ON THE BIAS OF WINSORIZED MEANS ⋮ Properties of systems with two exchangeable Pareto components

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