I. Pinelis

collaborators

5 papers

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 $P (0 < X < I^´)$ for all real $I^´ > 0$ and all random variables $X$ with log-concave p.d.f.'s such that $E X = 0$ and $E X^{2} = 1$ is obtained.

math.PR2025

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $R^{d}$ ?

Iosif Pinelis

It is shown that the convex order between the distributions of linear functionals does not imply the convex order between the probability distributions over $R^{d}$ if $d\ge2…

math.MG2025

On the sum of the angles between three vectors

Iosif Pinelis

For any three nonzero vectors $a, b, c$ in $R^{2}$ , we obtain a necessary and sufficient condition for the sum of the three pairwise angles between these vectors to equal $2 I ¨ $ …

math.ST2025

Comment on "Worst-case Nonparametric Bounds for the Student T-statistic", arXiv:2508.13226

Iosif Pinelis

Concerning Version 1 of ``Worst-case Nonparametric Bounds for the Student T-statistic'', arXiv:2508.13226: The main result there is incorrect. Concerning Version 2 of arXiv:2508.13…

Equi-dependence implying independence

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

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over Rd?

On the sum of the angles between three vectors

Comment on "Worst-case Nonparametric Bounds for the Student T-statistic", arXiv:2508.13226

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $R^{d}$ ?