An Exponential Inequality for U-Statistics with Applications to Testing

DOI10.1017/S0269964800003673zbMath1335.60013OpenAlexW2107372589MaRDI QIDQ2805307

Peter J. Bickel, Ya'acov Ritov

Publication date: 11 May 2016

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0269964800003673

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Inequalities; stochastic orderings (60E15) Martingales with discrete parameter (60G42)

Cites Work

• U-processes: Rates of convergence
• Functional limit theorems for U-processes
• Decoupling and Khintchine's inequalities for \(U\)-statistics
• Approximation Theorems of Mathematical Statistics
• The Number of Classes in Chi-Squared Goodness-of-Fit Tests
• On the Choice of the Number of Class Intervals in the Application of the Chi Square Test
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