Sampling from Finite Populations

In Section 5.1, we reformulate and study some elementary questions of sampling from finite populations in terms of point processes. Basic concepts and important examples will be discussed in detail so that previous knowledge about this topic is not necessary. Section 5.2 concerns a certain mixing model that is called “superpopulation.” We hope that the point process approach facilitates the understanding of such models. In Section 5.3, it will be shown that several of the computations outlined in Section 5.1 can be carried out by applying the Campbell theorem. We also introduce the concepts of moment measures and Palm distributions.