38 citations · 121 across the 45 of their papers we have counts for
44 papers · 1 filter
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…
Improved concentration bounds for sums of independent sub-exponential random variables
Iosif Pinelis
Known Bernstein-type upper bounds on the tail probabilities for sums of independent zero-mean sub-exponential random variables are improved in several ways at once. The new upper b…
Exact lower and upper bounds for shifts of Gaussian measures
Iosif Pinelis
Exact upper and lower bounds on the ratio for a centered Gaussian random vector in , as well…