The order of the normal approximation for linear combinations of order statistics with smooth weight functions
From MaRDI portal
Publication:1244767
DOI10.1214/aop/1176995662zbMath0373.62026OpenAlexW2078124062MaRDI QIDQ1244767
Publication date: 1977
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176995662
Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30)
Related Items (16)
Marcinkiewicz–Zygmund and ordinary strong laws for empirical distribution functions and plug-in estimators ⋮ An Edgeworth expansion for finite-population \(L\)-statistics ⋮ On Cumulative Residual Renyi's Entropy ⋮ Stein's method for nonlinear statistics: a brief survey and recent progress ⋮ A strong law of large number for l-statistics in the non-i.d. case ⋮ Strong consistency of the general rank estimator ⋮ On the bootstrap and the trimmed mean ⋮ Normal approximation for nonlinear statistics using a concentration inequality approach ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ The Berry-Esséen bound for Studentized statistics ⋮ Inequality indices: theoretical and empirical aspects of their asymptotic behaviour ⋮ The law of the iterated logarithm and central limit theorem for \(L\)-statistics ⋮ Berry–Esseen Bound for a Class of NormalizedL-Statistics ⋮ Nonuniform estimation of rate of convergence for L-statistics ⋮ Asymptotic representation of L-estimators and their relations to M-estimators ⋮ An exponential nonuniform convergence rate for a class of normalized L-statistics
This page was built for publication: The order of the normal approximation for linear combinations of order statistics with smooth weight functions
