Rates of convergence for linear rank statistics with dependent data

DOI10.1016/0378-3758(93)90084-JzbMath0787.62054OpenAlexW1995096092MaRDI QIDQ1314485

Gerald L. Thompson

Publication date: 16 February 1994

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(93)90084-j

zbMATH Keywords

asymptotic normalityrates of convergencemissing observationsdependent random variableslinear rank statisticsrepeated measures designsapproximate scoresasymptotic rank testsbounded second derivativestratified random effects modelsunbounded score functionsunequal cell sizes

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic distribution of rank statistics under dependencies with multivariate application
• On the rate of convergence to normality for generalized linear rank statistics
• Linear serial rank tests for randomness against ARMA alternatives
• Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models
• A Berry-Esseen bound for functions of independent random variables
• Central limit theorems under alternatives for a broad class of nonparametric statistics
• Berry-Esseen theorems for simple linear rank statistics under the null- hypothesis
• Order of normal approximation for rank test statistics distribution
• Convergence and remainder terms in linear rank statistics
• Asymptotic equivalence of statistical inference based on aligned ranks and on within-block ranks
• Rank order statistics for time series models
• Efficiencies of Interblock Rank Statistics for Repeated Measures Designs
• A Unified Approach to Rank Tests for Multivariate and Repeated Measures Designs
• LINEAR AND QUADRATIC SERIAL RANK TESTS FOR RANDOMNESS AGAINST SERIAL DEPENDENCE
• Rank Tests for correlated Random Variables
• On the Rate of Convergence in Normal Approximation and Large Deviation Probabilities for a Class of Statistics
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives