Central limit theorems under alternatives for a broad class of nonparametric statistics

DOI10.1016/0378-3758(89)90095-5zbMath0671.62020OpenAlexW1985870190MaRDI QIDQ1119305

Munsup Seoh, Madan Lal Puri

Publication date: 1989

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(89)90095-5

zbMATH Keywords

central limit theoremAsymptotic normalitylinear combination of functions of order statisticsvariance inequalitiessigned rank statisticslinear functions of concomitants of order statisticsunsigned linear rank statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (2)

Some asymptotic results for a broad class of nonparametric statistics ⋮ Rates of convergence for linear rank statistics with dependent data

Cites Work

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• Cramér type large deviations for generalized rank statistics
• On the rate of convergence in the central limit theorem for signed rank statistics
• A differential for L-statistics
• Asymptotic normality of linear combinations of order statistics with a smooth score function
• Convergence of sample paths of normalized sums of induced order statistics
• An invariance principle in regression analysis
• Convergence and remainder terms in linear rank statistics
• Asymptotic normality of multivariate linear rank statistics in the non- i.i.d. case
• Linear functions of order statistics with smooth weight functions
• On the centering of a simple linear rank statistic
• Convergence of reduced empirical and quantile processes with application to functions of order statistics in the non-I.I.D. case
• The Large-Sample Power of Rank Order Tests in the Two-Sample Problem
• Centering of Signed Rank Statistics with a Continuous Score-Generating Function
• Linear Functions of Concomitants of Order Statistics with Application to Nonparametric Estimation of a Regression Function
• Asymptotically Most Powerful Rank-Order Tests
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• Linear Functions of Order Statistics
• Asymptotic Normality of Linear Combinations of Functions of Order Statistics
• An Elementary Proof of Asymptotic Normality of Linear Functions of Order Statistics
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives II
• Asymptotic distribution of simple linear rank statistics for testing symmetry
• Asymptotic normality of signed rank statistics
• Functions of Order Statistics

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