Showing papers by "Ronald Rousseau published in 1993"

Measuring concentration: Sampling design issues, as illustrated by the case of perfectly stratified samples

Abstract: Using the artificial example of perfectly stratified samples, we have shown the effect different sampling designs have on the determination of concentration values. More concretely, we have studied the following four cases: sampling of items in the case the number of sources is known (we have further considered the cases when there are ‘many’ items in every source and when this is not so); sampling of items in the case the number of sources is unknown, and finally, sampling of sources.

Evolution of information production processes and its relation to the Lorenz dominance order

Abstract: We investigate the evolution and growth of information production processes (in short IPPs). An important role in this investigation is played by the Lorenz curve of concentration and the majorization poset. This leads to a number of relations between the total number of sources, the total number of items, the average production and the maximum production of an IPP, when one or several of these quantities show an evolution in time. We also establish a relation between the 80/20 rule and the Lorenz dominance order. We conclude that Lorenz curves and the majorization poset are important tools in the investigation of evolution and growth.