Utility representations for partial orders

The main result of this paper is that for a continuous partial order on a second countable space there exist both an upper- and a lower-semicontinuous utility representation (but in general not jointly). This is the counterpart of the classical result of Debreu for complete preorders. The proof is based on a probabilistic approach which generalizes a theorem due to Neuefeind.     

Approximation von entarteten linearen Modellen durch modelle mit vollem Rang

Metrika - In an application in the field of biochemistry we were asked whether the best linear unbiased estimator of the regression parameters in a linear model with degenerate covariance matrix...