H. Hendriks

activity

20072021

most citedAsymptotic data analysis on manifolds

13 citations · 25 across the 6 of their papers we have counts for

collaborators

7 papers

stat.ME2021★ 2 cited

Test Martingales for bounded random variables

Harrie Hendriks

Given a positive random variable $X$ , $X \geq 0$ a.s., a null hypothesis $H_{0} : E (X) \leq μ$ and a random sample of infinite size of $X$ , we construct test supermartingales for $H_{0}$ , i.e.…

math.CO2020

Tomaszewski's problem on randomly signed sums, revisited

Ravi B. Boppana, Harrie Hendriks, Martien C. A. van Zuijlen

Let $v_{1}$ , $v_{2}$ , ..., $v_{n}$ be real numbers whose squares add up to 1. Consider the $2^{n}$ signed sums of the form $S = \sum \pm v_{i}$ . Boppana and Holzman (2017) proved that at lea…

math.CO2020★ 2 cited

An improvement of the Boppana-Holzman bound for Rademacher random variables

Harrie Hendriks, Martien C. A. van Zuijlen

Let $v_{1}, v_{2}, ..., v_{n}$ be real numbers whose squares add up to $1$ . Consider the $2^{n}$ signed sums of the form $S = \sum_{i = 1}^{n} \pm v_{i} .$ Holzman and Kleitman (1992) proved that at l…

stat.ME2018★ 3 cited

Test Martingales for bounded random variables

Harrie Hendriks

Given a random sample from a random variable $T$ which is bounded from above, $T \leq τ$ a.s., we define processes that are positive supermartingales if $E (T) \geq μ$ . Such processes are…

math.CO2017★ 5 cited

Linear combinations of Rademacher random variables

Harrie Hendriks, Martien C. A. van Zuijlen

For a fixed unit vector $a = (a_{1}, a_{2}, \dots, a_{n}) \in S^{n - 1}$ , we consider the $2^{n}$ sign vectors $ε = (ε^{1}, ε^{2}, \dots, ε^{n}) \in {+ 1, - 1}^{n}$ and…

math.PR2012

Sharp upper bounds for the deviations from the mean of the sum of independent Rademacher random variables

Harrie Hendriks, Martien C. A. van Zuijlen

For a fixed unit vector a=(a_1,a_2,...,a_n) in S^{n-1}, i.e. sum_{i=1}^n a_i^2=1, we consider the 2^n sign vectors epsilon=(epsilon_1,epsilon_2,...,epsilon_n) in {-1,1}^n and the c…