On the Bahadur - Kiefer Representation for Intermediate Sample Quantiles

zbMath1297.62109arXiv1106.2260MaRDI QIDQ4908838

N. V. Gribkova, Roelof Helmers

Publication date: 7 March 2013

Full work available at URL: https://arxiv.org/abs/1106.2260

zbMATH Keywords

empirical processesquantile processesBahadur-Kiefer type representationintermediate sample quantilesBahadur-Kiefer processesslightly trimmed sumvon Mises statistic type approximation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (4)

Cramér-type moderate deviations for intermediate trimmed means ⋮ On Berry-Esseen type bounds and asymptotic expansions for slightly trimmed means ⋮ Cramér type moderate deviations for trimmed \(L\)-statistics ⋮ Asymptotics of the empirical cross-over function

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