Asymptotic normality of generalized L-statistics with unbounded scores

DOI10.1016/0378-3758(88)90051-1zbMath0664.62048OpenAlexW2083714130MaRDI QIDQ1115060

Frits H. Ruymgaart, Roelof Helmers

Publication date: 1988

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/1686

zbMATH Keywords

asymptotic normalityempirical processescentral limit theoremempirical distributionL-statisticslinear combinations of functions of generalized order statisticsU-statistics structuresunbounded scores

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items

Asymptotic distributions for a class of generalized \(L\)-statistics ⋮ Necessary and sufficient conditions for asymptotic normality of trimmed L-statistics ⋮ Berry-Esseen type bounds for trimmed \(U\)-statistics ⋮ Asymptotic normality of two sample linear rank statistics under U- statistic structure ⋮ Empirical U-statistics processes ⋮ Non-uniform Berry-Esseen bounds for weighted \(U\)-statistics and generalized \(L\)-statistics ⋮ Limit theorems for the negative parts of weighted multivariate empirical processes with application ⋮ Asymptotic normality of \(L\)-statistics based on \(m(n)\)-decomposable time series

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