Sampling Designs with Linear and Quadratic Probability Functions

Sammanfattning

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.

Nyckelord

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

Publicerad i

Open Journal of Statistics
2014, volym: 4, nummer: 3, sidor: 178-187

SLU författare

• Grafström, Anton

  • Institutionen för skoglig resurshushållning, Sveriges lantbruksuniversitet
    

UKÄ forskningsämne

Sannolikhetsteori och statistik

Publikationens identifierare

• DOI: https://doi.org/10.4236/ojs.2014.43017

Permanent länk till denna sida (URI)

https://res.slu.se/id/publ/63684