Error bounds for linear combinations of order statistics

DOI10.1214/aos/1176343800zbMath0356.62015OpenAlexW2041480215MaRDI QIDQ1237473

Steinar Bjerve

Publication date: 1977

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176343800

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)

Related Items (14)

A cramer type large deviation theorem for trimmed linear combinations of order statistics ⋮ Saddlepoint approximations to the trimmed mean ⋮ Estimation of the rate of convergence to the normal law of truncated linear combinations of order statistics ⋮ An Edgeworth expansion for finite-population \(L\)-statistics ⋮ Bounds on the expected maximum ⋮ Residual life functionals at great age ⋮ Credibility theory based on trimming ⋮ Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ The Berry-Esséen bound for Studentized statistics ⋮ A Berry-Esseen Bound for Linear Combinations of Order Statistics ⋮ Nonuniform estimation of rate of convergence for L-statistics ⋮ Rate of convergence to the normal law of order statistics for nonidentically distributed random variables ⋮ An exponential nonuniform convergence rate for a class of normalized L-statistics

This page was built for publication: Error bounds for linear combinations of order statistics