On Sampling with Prescribed Second-order Inclusion Probabilities


Lennart Bondesson, Department of Mathematics and Mathematical Statistics, Umeå University, SE-90187, Sweden.
E-mail: Lennart.Bondesson@math.umu.se


Abstract.  Methods to perform fixed size sampling with prescribed second-order inclusion probabilities are presented. The focus is on a conditional Poisson design of order 2, a CP(2) design. It is an exponential design of quadratic type and it is carefully studied. In particular, methods to find the suitable values of the parameters and methods to sample are described. Small examples illustrate.