On functionals of order statistics

DOI10.1007/BF01893363zbMath0484.62063MaRDI QIDQ1163820

Wolfgang Sendler

Publication date: 1982

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/175830

zbMATH Keywords

asymptotic normality of linear combinations of order statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Randomly trimmed \(\ell\)-statistics ⋮ Estimation of total time on test transforms and lorenz curves under random censorship ⋮ Equivalent processes of total time on test, Lorenz and inverse Lorenz processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On statistical inference in concentration measurement
• A strong law for linear functions of order statistics
• A characterization of the asymptotic normality of linear combinations of order statistics from the uniform distribution
• The asymptotic distribution of the trimmed mean
• Convergence theorems for empirical Lorenz curves and their inverses
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• An Elementary Proof of Asymptotic Normality of Linear Functions of Order Statistics
• On the Construction of Almost Uniformly Convergent Random Variables with Given Weakly Convergent Image Laws
• On Weak Convergence of Stochastic Processes with Multidimensional Time Parameter
• ASYMPTOTIC NORMALITY OF LINEAR COMBINATIONS OF FUNCTIONS OF ORDER STATISTICS, II
• Functions of Order Statistics
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications

This page was built for publication: On functionals of order statistics