OJS  Vol.4 No.3 , April 2014
Sampling Designs with Linear and Quadratic Probability Functions
Abstract: Fixed size without replacement sampling designs with probability functions that are linear or quadratic functions of the sampling indicators are defined and studied. Generality, simplicity, remarkable properties, and also somewhat restricted flexibility characterize these designs. It is shown that the families of linear and quadratic designs are closed with respect to sample complements and with respect to conditioning on sampling outcomes for specific units. Relations between inclusion probabilities and parameters of the probability functions are derived and sampling procedures are given.
Cite this paper: Bondesson, L. , Grafström, A. and Traat, I. (2014) Sampling Designs with Linear and Quadratic Probability Functions. Open Journal of Statistics, 4, 178-187. doi: 10.4236/ojs.2014.43017.

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