The uniform experimental design is one kind of space filling designs that can be used for
computer experiments and also for industrial experiments when the underlying model is …

Nur wenige Methoden haben eine so langfristige Bedeutung für das Arbeitsleben eines
Ingenieurs wie die statistische Versuchsplanung. CAD-Programme ändern sich schnell, so …

Computer simulations based on mathematical models have become ubiquitous across the
engineering disciplines and throughout the physical sciences. Successful use of a …

A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has
been popular since 1980. A survey of UD is given in the first portion: The fundamental idea …

Experimental designs are very important in chemometrics, since chemistry, until now, is still
essentially a field of science strongly dependent on chemical experiments. So, for a long …

In this paper properties and construction of designs under a centered version of the $ L_2 $-
discrepancy are analyzed. The theoretic expectation and variance of this discrepancy are …

Every random number generator has its advantages and deficiencies. There are no “safe”
generators. The practitioner's problem is how to decide which random number generator will …

Estimation and modelling problems as they arise in many fields often turn out to be
intractable by standard numerical methods. One way to deal with such a situation consists in …

The notion of Pareto-optimality is one of the major approaches to multiobjective
programming. While it is desirable to find more Pareto-optimal solutions, it is also desirable …

We study the uniformity of two-and three-level U-type designs based on the centered and
wrap-around L2-discrepancies. By analyzing the known formulae, we find it possible to …