The almost sure representation of intermediate order statistics

DOI10.1007/BF00534346zbMath0438.62039OpenAlexW1982270756MaRDI QIDQ3880102

Vernon Watts

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00534346

zbMATH Keywords

asymptotic normalityintermediate order statisticsalmost sure representation

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30)

Related Items (6)

On stability of intermediate order statistics ⋮ The almost sure behavior of the oscillation modulus of the multivariate empirical process ⋮ Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables ⋮ A strong ergodic theorem for extreme and intermediate order statistics ⋮ Pivots versus signals in elections ⋮ The limiting distribution of the maximal deviation of a density estimate and a hazard rate estimate

Cites Work

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• Strong approximations of the quantile process
• A Note on Quantiles in Large Samples
• On Bahadur's Representation of Sample Quantiles
• Asymptotic Normality of Sample Quantiles for $m$-Dependent Processes
• A New Proof of the Bahadur Representation of Quantiles and an Application

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