Algorithms to Calculate Exact Inclusion Probabilities for a Non-Rejective Approximate πpsSampling Design

Abstract

AP-design, an efficient non-rejective implementation of the πps sampling design, was proposed in the literature as an alternative Poisson sampling scheme. In this paper, we have updated inclusion probabilities formulas in the AP sampling design. The formulas of these inclusion probabilities have been greatly simplified. The proposed results show that the AP design and the algorithms to calculate inclusion probabilities are simple and effective, and the design is possible to be used in practice. Three real examples have also been included to illustrate the performance of these designs.

Keywords

• AP diseño de muestra
• probabilidades de inclusión
• esquema de Poisson