# Operational Interpretations of the Chernoff Inequality

## TL;DR

This paper extends the Chernoff inequality using operational methods, revealing it as part of a broader continuum of probability bounds and establishing new relations with moment bounds and monotonic functions.

## Contribution

It introduces a generalized framework for Chernoff bounds, connecting them to absolute monotonic functions and expanding their theoretical understanding.

## Key findings

- Chernoff bound is part of a continuum of probability bounds
- Established a relation between moment bounds and monotonic functions
- Generalized Chernoff inequality using operational methods

## Abstract

We utilize operational methods to generalize the Chernoff inequality and prove a new result that relates the moment bound to strictly absolute monotonic functions. We show that the Chernoff bound is part of a continuum of probability bounds.

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Source: https://tomesphere.com/paper/1907.08104