Limit theorems for generalized sequential rank statistics

DOI10.1007/BF00534871zbMath0555.60023OpenAlexW2013651096MaRDI QIDQ3218868

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Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf00534871

zbMATH Keywords

invariance principlesequential ranksfull rank statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (3)

On locally most powerful sequential rank tests ⋮ Some Rank-Based Two-Phase Procedures in Sequential Monitoring of Exchange Rate ⋮ Nonparametric phase-II monitoring for detecting monotone trend based on inverse sampling

Cites Work

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• A Bahadur efficiency comparison between one and two sample rank statistics and their sequential rank statistic analogues
• On the use of a statistic based on sequential ranks to prove limit theorems for simple linear rank statistics
• A sequential signed-rank test for symmetry
• On Chernoff-Savage statistics and sequential rank tests
• Sequential signed rank statistics
• Invariance principles for rank discounted partial sums and averages
• Some Multivariate Chebyshev Inequalities with Extensions to Continuous Parameter Processes

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