Exact Rosenthal-type inequalities for p=3, and related results

Abstract

An exact Rosenthal-type inequality for the third absolute moments is given, as well as a number of related results. Such results are useful in applications to Berry--Esseen bounds.

4 pages

References in corpus (3)

• Exact inequalities for sums of asymmetric random variables, with applications
• More on the nonuniform Berry--Esseen bound
• Rosenthal-type inequalities for martingales in 2-smooth Banach spaces