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On Sampling with Prescribed Second‐order Inclusion Probabilities
Authors:LENNART BONDESSON
Institution:Department of Mathematics and Mathematical Statistics, Ume??University
Abstract: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.
Keywords:complementary sampling  conditional Poisson sampling  CP(2) sampling  entropy  Gibbs sampling  inclusion probabilities  linear programming  Pareto sampling  Sampford sampling  Sinha's method
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