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On sampling with de...
On sampling with desired inclusion probabilities of first and second order
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- Lundquist, Anders, 1978- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Bondesson, Lennart, 1944- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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(creator_code:org_t)
- Umeå : Umeå universitet, 2005
- English 22 s.
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Series: Research report in mathematical statistics, 1653-0829 ; 2005:03
- Related links:
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https://urn.kb.se/re...
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Keyword
- Mathematical statistics
- Matematisk statistik
- Mathematical Statistics
- matematisk statistik
Publication and Content Type
- vet (subject category)
- rap (subject category)
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