Some Methods of Inclusion Probability Proportional to Size Sampling
A. K. Nigam, Pranesh Kumar, Vinod Kumar Gupta · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1984
SUMMARY This article proposes a sampling scheme which involves creating a sampling design to ensure inclusion probability proportional to size selection. The sampling design is created through constructing a sample space in which the population units occur in proportion to their sizes and every pair of units occurs in such a way as to provide a non-negative and stable variance estimator. The selection procedure is then extremely simple and the values of the inclusion probabilities of pairs of units can be computed easily. The methods of constructing the sample space are demonstrated through typical examples.