On the use of a statistic based on sequential ranks to prove limit theorems for simple linear rank statistics

DOI10.1214/AOS/1176345408zbMath0459.62015OpenAlexW2031080773MaRDI QIDQ1152178

David M. Mason

Publication date: 1981

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176345408

zbMATH Keywords

asymptotic normalityorder statisticinvariance principlesimple linear rank statisticsiterated logarithm lawsequential ranks

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17) Asymptotic properties of parametric tests (62F05) Nonparametric inference (62G99)

Related Items (3)

Limit theorems for generalized sequential rank statistics ⋮ On locally most powerful sequential rank tests ⋮ A Bahadur efficiency comparison between one and two sample rank statistics and their sequential rank statistic analogues

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