A More General Maximal Bernstein-type Inequality
P\'eter Kevei, David M. Mason
TL;DR
This paper extends a Bernstein-type maximal inequality to provide a more general framework for bounding sums of random variables, enhancing theoretical tools for probabilistic analysis.
Contribution
It introduces a more general form of the Bernstein-type maximal inequality, broadening its applicability in probability theory.
Findings
Extended Bernstein-type inequality applicable to wider classes of random variables
Improved bounds for sums of random variables in probabilistic analysis
Enhanced theoretical framework for maximal inequalities
Abstract
We extend a general Bernstein-type maximal inequality of Kevei and Mason (2011) for sums of random variables.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Banach Space Theory · Advanced Harmonic Analysis Research