On sampling with desired inclusion probabilities of first and second order
2005 (English)Report (Other academic)
We present a new simple approximation of target probabilities pi for conditional Poisson sampling to obtain given inclusion probabilities. This approximation is based on the fact that the Sampford design gives inclusion probabilities as desired. Some alternative routines to calculate exact pi-values are presented and compared numerically. Further we derive two methods for achieving prescribed 2nd order inclusion probabilities. First we use a probability function belonging to the exponential family. The parameters of this probability function are determined by using an iterative proportional fitting algorithm. Then we modify the conditional Poisson probability function with an additional quadratic factor.
Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2005. , 22 p.
Research report in mathematical statistics, ISSN 1653-0829 ; 2005:03
Probability Theory and Statistics
Research subject Mathematical Statistics
IdentifiersURN: urn:nbn:se:umu:diva-8385OAI: oai:DiVA.org:umu-8385DiVA: diva2:148056
Distributor:Institutionen för matematik och matematisk statistik, 90187, Umeå