scientific article

zbMath0905.62054MaRDI QIDQ3843196

Tomasz Rychlik

Publication date: 30 August 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Jensen inequalityL-estimatesextremes of expectations

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (25)

Bounds on expectation of order statistics from a finite population ⋮ Bounds on expectations of \(L\)-statistics from without replacement samples ⋮ Sharp bounds on the bias of trimean ⋮ Sharp bounds for \(L\)-statistics from dependent samples of random length ⋮ OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES ⋮ Bounds for expectations of concomitants ⋮ Evaluations of expectations of order statistics and spacings based on IFR distributions ⋮ Optimal bounds on the bias of quasimidranges ⋮ Bounds on the expectations of \(L\)-statistics from iid symmetric populations in various scale units ⋮ Stability of expected \(L\)-statistics against weak dependence of observations ⋮ Stability of \(L\)-statistics from weakly dependent observations ⋮ Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables ⋮ Relations for \(m\)-generalized order statistics via an Opial-type inequality ⋮ Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations ⋮ Bounds for the bias of the empirical CTE ⋮ Sharp fixed \(n\) bounds and asymptotic expansions for the mean and the median of a Gaussian sample maximum, and applications to the Donoho-Jin model ⋮ Refined solution to upper-bound problem for the expectations of order statistics from decreasing density on the average distributions ⋮ Evaluations of quantiles of system lifetime distributions ⋮ Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples ⋮ Expectation bounds on linear estimators from dependent samples ⋮ Lower bounds on the expectations of upper record values ⋮ Evaluating expectations of \(L\)-statistics by the Steffensen inequality ⋮ Bounds on expectations of small order statistics from decreasing density populations ⋮ Non-positive upper bounds on expectations of low rank order statistics from DFR populations ⋮ Tight evaluations for expectations of small order statistics from symmetric and symmetric unimodal populations

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