In this paper we consider the regression problem for random sets of the Boolean-model type. Regression modeling of the Boolean random sets using some explanatory variables are classified according to the type of these variables as propagation, growth or propagation-growth models. The maximum...

A coherent set of explicit approximations is presented for the variance of planar area and volume estimators obtained under systematic geometric sampling. For planar objects (e.g. a land plot, or a tissue section), sampling is considered with test systems of points, lines, segments, stripes, or...

<Para ID="Par1">This paper deals with the average-case-analysis of the number of pivot steps required by the simplex method. It generalizes results of Borgwardt (who worked under the assumpution of the rotation-symmetry-model) for the shadow-vertex-algorithm to so-called cylindric distributions. Simultaneously...</para>