Topic: Probability and Tail Inequalities

Union Bounds for Maxima and Multiple Events

Two-Sided Chernoff Bounds for Centered Sums

The Exponential Markov Inequality

Tail Bounds for Products and Ratios by Threshold Splitting

Tail Bounds from Shifted and Truncated Nonnegative Functions

Recovering Moment Bounds from Tail Probabilities

Poisson Tail Bounds from Its MGF

Paley-Zygmund Lower Bounds from Two Moments

Optimizing the Chernoff Parameter

MGF Domains and Valid Chernoff Parameters