Asymptotic distributions of non-central Studentized statistics

DOI10.1007/s11425-009-0086-7zbMath1176.62010OpenAlexW2008878169MaRDI QIDQ1042962

Rong Mao Zhang, Qui-Man Shao

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0086-7

zbMATH Keywords

power\(L\)-statisticsStudentized \(U\)-statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05)

Cites Work

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• A Cramér type large deviation result for Student's \(t\)-statistic
• Self-normalized large deviations
• A condition for the equivalence of coupling and shift coupling.
• The jackknife and bootstrap
• Limiting distributions of the non-central \(t\)-statistic and their applications to the power of \(t\)-tests under non-normality
• Approximation Theorems of Mathematical Statistics

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