A recently developed centroidal Voronoi tessellation (CVT) sampling method is investigated here to assess its suitability for use in statistical sampling applications. CVT efficiently generates a highly uniform distribution of sample points over arbitrarily shaped Mdimensional parameter spaces. On several 2-D test problems CVT has recently been found to provide exceedingly effective and efficie...

The objective of this study was to compare the accuracy of estimating and predicting breeding values using two diverse approaches, GBLUP and BayesC, using simulated data under different quantitative trait locus(QTL) effect distributions. Data were simulated with three different distributions for the QTL effect which were uniform, normal and gamma (1.66, 0.4). The number of QTL was assumed to be...

We construct a stationary ergodic process X1, X2, . . . such that each Xt has the uniform distribution on the unit square and the length Ln of the shortest path through the points X1, X2, . . . , Xn is not asymptotic to a constant times the square root of n. In other words, we show that the Beardwood, Halton and Hammersley theorem does not extend from the case of independent uniformly distribut...

Given a uniform ensemble of quantum density matrices ρ, it is useful to calculate the mean value over this ensemble of a product of entries of ρ. We show how to calculate such moments in this paper. The answer involves well known results from Group Representation Theory and Random Matrix Theory. This quantum problem has a well known classical counterpart: given a uniform ensemble of probability...