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Sinha, B.K. (1973) On Sampling Schemes to Realize Preassigned Sets of Inclusion Probabilities of First Two Orders. Calcutta Statistical Association Bulletin, 22, 89-110.

has been cited by the following article:

• TITLE: Sampling Designs with Linear and Quadratic Probability Functions

  AUTHORS: Lennart Bondesson, Anton Grafström, Imbi Traat

  KEYWORDS: Complementary Midzuno Design; Conditional Sample; Inclusion Probability; Midzuno Design; Mixture of Designs; Parameters of Design; Sample Complement; Sinha Design

  JOURNAL NAME: Open Journal of Statistics, Vol.4 No.3, March 28, 2014

  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.