32 citations · 61 across the 6 of their papers we have counts for
6 papers
The Minimum -Distance Projection onto the Canonical Simplex: A Simple Algorithm
Hans J. H. Tuenter
We consider the minimum distance projection in the -norm from an arbitrary point in an -dimensional, Euclidian space onto the canonical simplex. It is shown that this probl…
Erlang's loss function and a property of the exponential function
Hans J. H. Tuenter
We show that a concavity property of the exponential function is a direct consequence of the convexity of the continued Erlang loss function.
A characterization of the Frobenius problem and its application to arithmetic progressions
Hans J. H. Tuenter
In the Frobenius problem we are given a set of coprime, positive integers , and are interested in the set of positive numbers NR that have no representation by th…
Minimum L1-distance projection onto the boundary of a convex set: Simple characterization
Hans J. H. Tuenter
We show that the minimum distance projection in the L1-norm from an interior point onto the boundary of a convex set is achieved by a single, unidimensional projection. Application…
On the Generalized Poisson Distribution
Hans J. H. Tuenter
The Generalized Poisson Distribution (GPD) was introduced by Consul and Jain (1973). However, as remarked by Consul (1989), "It is very difficult to prove by direct summation that…
Walking into an absolute sum
Hans J. H. Tuenter
We investigate a combinatorial sum that can be interpreted as the moments of a random variate, measuring the absolute distance to the origin in a symmetric Bernoulli random walk. T…