Berry-Esseen and central limit theorems for serial rank statistics via graphs

DOI10.3150/bj/1082380218zbMath1071.62046OpenAlexW2103089393MaRDI QIDQ1769775

Tatyana S. Turova

Publication date: 30 March 2005

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1082380218

zbMATH Keywords

central limit theoremgraphsBerry-Esseen theoremrank statisticsserial ranks

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Applications of graph theory (05C90) Combinatorial probability (60C05)

Cites Work

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• Linear serial rank tests for randomness against ARMA alternatives
• A short proof of Motoo's combinatorial central limit theorem using Stein's method
• Optimal rank-based procedures for time series analysis: testing an ARMA model against other ARMA models
• Asymptotic expansions for the power of distribution free tests in the one-sample problem
• The rate of convergence for multivariate sampling statistics
• Aligned rank tests for linear models with autocorrelated error terms
• On Latin hypercube sampling
• Error bound in a central limit theorem of double-indexed permutation statistics
• A Berry-Esséen theorem for serial rank statistics
• A study of serial ranks via random graphs
• An estimate of the remainder in a combinatorial central limit theorem
• An Exact Test for Randomness in the Non-Parametric Case Based on Serial Correlation
• Motoo's combinatorial central limit theorem for serial rank statistics