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What is Bennett-Orlicz Norm and Inequalities about?

The document introduces the Bennett-Orlicz norm, a new Orlicz norm related to Bennett type inequalities, which provides potentially tighter inequalities for expectations of maxima compared to the Bernstein-Orlicz norm. It discusses the connections between these norms, exponential inequalities, and compares results with previous works by Talagrand and others. The document includes detailed mathematical definitions, lemmas, and applications related to these norms.

Author

Tam T. Le

Language

EN