pith. sign in

arxiv: 1609.00533 · v1 · pith:ISADO4YUnew · submitted 2016-09-02 · 🧮 math.PR

Large deviation inequalities for sums of indicator variables

classification 🧮 math.PR
keywords someinequalitiesbecauseboundsindicatormadepublishedvariables
0
0 comments X
read the original abstract

A survey is given of some Chernoff type bounds for the tail probabilities P(X-EX > a) and P(X-EX < a) when X is a random variable that can be written as a sum of indicator variables that are either independent or negatively related. Most bounds are previously known and some comparisons are made. This paper was written in 1994, but was never published because I had overlooked some existing papers containing some of the inequalities. Because of some recent interest in one of the inequalities, which does not seem to be published anywhere else, it has now been lightly edited and made available here.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Node-private community estimation in stochastic block models: Tractable algorithms and lower bounds

    math.ST 2026-05 unverdicted novelty 7.0

    Develops tractable node-differentially private algorithms for community estimation in fixed-community stochastic block models together with lower bounds on the privacy parameter ε needed for consistency.