Poisson mixture sampling: A family of designs for coordinated selection using permanent random numbers - ARCHIVED

This paper introduces Poisson Mixture sampling, a family of sampling designs so named because each member of the family is a mixture of two Poisson sampling designs, Poisson nps sampling and Bernoulli sampling. These two designs are at opposite ends of a continuous spectrum, indexed by a continuous parameter. Poisson Mixture sampling is conceived for use with the highly skewed populations often arising in business surveys. It gives the statistician a range of different options for the extent of the sample coordination and the control of response burden. Some Poisson Mixture sampling designs give considerably more precise estimates than the usual Poisson nps sampling. This result is noteworthy, because Poisson nps is in itself highly efficient, assuming it is based on a strong measure of size.