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 2025Show all

3 papers · 1 filter

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 $2 π$ .…

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…

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 $R^{d}$ ?