Asymptotic normality of two sample linear rank statistics under U- statistic structure

DOI10.1016/0378-3758(92)90154-KzbMath0796.62042OpenAlexW1978007415MaRDI QIDQ1200017

Manfred Denker, Madan Lal Puri

Publication date: 17 January 1993

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90154-k

zbMATH Keywords

asymptotic normalitycentral limit theoremscontinuity theoremsharp upper boundvariance estimates\(U\)-statistics with kernels of varying degreeasymptotic efficacyempirical process of \(U\)-statistic structureorder preserving kernelstwo sample linear rank statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items (3)

Nonparametric tests for scale and location ⋮ Somec-sample rank tests of homogeneity against ordered alternatives based on U-statistics ⋮ Rank tests in the two-sample scale problem with unequal and unknown locations

Cites Work

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• Generalized L-, M-, and R-statistics
• A moment estimate for rank statistics
• The almost sure invariance principle for the empirical process of U- statistic structure
• Asymptotic normality of generalized L-statistics with unbounded scores
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives

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