14 citations · 15 across the 4 of their papers we have counts for
5 papers
Another look at binomial and related distributions exceeding values close to their centre
Tilo Wiklund
We generalise the known fact that for binomial one has $\inf_{k>1,n} \mathrm{P}(X_{n,k} \geq k) \geq \lim_{k \to 1+}\mathrm{P}(X_{2,k} \geq k) =…
Scalable Multivariate Histograms
Raazesh Sainudiin, Warwick Tucker, Tilo Wiklund
We give a distributed variant of an adaptive histogram estimation procedure previously developed by the first author. The procedure is based on regular pavings and is known to have…
Self-driving car safety quantification via component-level analysis
Juozas Vaicenavicius, Tilo Wiklund, Austė Grigaitė +3
In this paper, we present a rigorous modular statistical approach for arguing safety or its insufficiency of an autonomous vehicle through a concrete illustrative example. The meth…
Information in additional observations of a non-parametric experiment that is not estimable
Tilo Wiklund
Given independent and identically distributed observations and measuring the value of obtaining an additional observation in terms of Le Cam's notion of deficiency between expe…
Convex transform order of Beta distributions with some consequences
Idir Arab, Paulo Eduardo Oliveira, Tilo Wiklund
The convex transform order is one way to make precise comparison between the skewness of probability distributions on the real line. We establish a simple and complete characterisa…