On the \(T\)-test

DOI10.1016/j.spl.2022.109562OpenAlexW4286784858MaRDI QIDQ2170229

Serguei Novak

Publication date: 30 August 2022

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14530

zbMATH Keywords

hypothesis testingStudent's statistic\(T\)-test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Nonparametric robustness (62G35) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

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• Optimal-order bounds on the rate of convergence to normality in the multivariate delta method
• Poisson approximation
• Non-parametric lower bounds and information functions
• The asymptotic distribution of self-normalized triangular arrays
• Exact bounds on the closeness between the Student and standard normal distributions

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