I. Pinelis

activity

20052026

most citedExact inequalities for sums of asymmetric random variables, with applications

38 citations · 121 across the 45 of their papers we have counts for

collaborators

Showing 2021 · math.PRShow all

2 papers · 2 filters

math.PR2021

Best lower bound on the probability of a binomial exceeding its expectation

Iosif Pinelis

Let $X$ be a random variable distributed according to the binomial distribution with parameters $n$ and $p$ . It is shown that $P (X > E X) \geq 1/4$ if $1 > p \geq c / n$ , where $c := ln (4/3)$ ,…

math.PR2021

Exact lower bound on an "exactly one" probability

Iosif Pinelis

The exact lower bound on the probability of the occurrence of exactly one of $n$ random events each of probability $p$ is obtained.