Cumulative processes: Linear combinations of order statistics and percentiles

DOI10.1007/BF00533726zbMath0496.60021MaRDI QIDQ3961534

Sue E. Leurgans

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

percentilesinvariance theoremlinear 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) Stochastic processes (60G99)

Cites Work

• Asymptotic distributions of slope-of-greatest-convex-minorant estimators
• Weak convergence of sequential linear rank statistics
• On Chernoff-Savage statistics and sequential rank tests
• Strong approximations of the quantile process
• Weak convergence of some quantile processes arising in progressively censored tests
• Linear functions of order statistics with smooth weight functions
• Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case
• A convergence theorem for extreme values from Gaussian sequences
• The asymptotic distribution of the trimmed mean
• On the Distribution of the Number of Successes in Independent Trials
• An invariance principle for linear combinations of order statistics
• On Extreme Order Statistics
• A Note on Quantiles in Large Samples
• An Elementary Proof of Asymptotic Normality of Linear Functions of Order Statistics
• Asymptotic Normality of Sample Quantiles for $m$-Dependent Processes
• Weak Convergence of $U$-Statistics and Von Mises' Differentiable Statistical Functions
• Convergence of Quantile and Spacings Processes with Applications
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