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 2016 · math.PRShow all

3 papers · 2 filters

math.PR2016

Quantifying minimal non-collinearity among random points

Iosif Pinelis

Let $φ_{n, K}$ denote the largest angle in all the triangles with vertices among the $n$ points selected at random in a compact convex subset $K$ of $R^{d}$ with nonempty int…

math.PR2016★ 3 cited

Positive-part moments via the characteristic functions, and more general expressions

Iosif Pinelis

A unifying and generalizing approach to representations of the positive-part and absolute moments $E X_{+}^{p}$ and $E ∣ X ∣^{p}$ of a random variable $X$ for real $p$ in…

math.PR2016

On a multidimensional spherically invariant extension of the Rademacher--Gaussian comparison

Iosif Pinelis

It is shown that \begin{equation*} \mathsf{P}(\|a_1U_1+\dots+a_nU_n\|>u)\le c\,\mathsf{P}(a\|Z_d\|>u) \end{equation*} for all real $u$ , where $U_{1}, \dots, U_{n}$ are independent random…