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 2026 · math.PRShow all

3 papers · 2 filters

math.PR2026

Exact bounds on the distribution function of isotropic log-concave distributions

Iosif Pinelis

For each real $b$ , exact upper and lower bounds on the probability $P (X \geq b)$ over all random variables $X$ with log-concave p.d.f.'s such that $E X = 0$ and $\maths…

math.PR2026

Equi-dependence implying independence

Iosif Pinelis

It is shown that, if an event $A$ has the same conditional probability in each trial in an infinite sequence of Bernoulli trials, then $A$ is independent of each trial. More genera…

math.PR2026

One-sided concentration near the mean of log-concave distributions

Iosif Pinelis

A lower bound on the probability $P (0 < X < δ)$ for all real $δ > 0$ and all random variables $X$ with log-concave p.d.f.'s such that $E X = 0$ and $E X^{2} = 1$ is obtained.