38 citations · 121 across the 45 of their papers we have counts for
63 papers
Exact bounds on the distribution function of isotropic log-concave distributions
Iosif Pinelis
For each real , exact upper and lower bounds on the probability over all random variables with log-concave p.d.f.'s such that and $\maths…
Equi-dependence implying independence
Iosif Pinelis
It is shown that, if an event has the same conditional probability in each trial in an infinite sequence of Bernoulli trials, then is independent of each trial. More genera…
One-sided concentration near the mean of log-concave distributions
Iosif Pinelis
A lower bound on the probability for all real and all random variables with log-concave p.d.f.'s such that and is obtained.
Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over ?
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 if $d\ge2…
On the sum of the angles between three vectors
Iosif Pinelis
For any three nonzero vectors in , we obtain a necessary and sufficient condition for the sum of the three pairwise angles between these vectors to equal .…
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…