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Sampling Designs From Finite Populations With Spreading Control Parameters

Auteur(s)
Tillé, Yves 
Institut de statistique 
Qualité, Lionel 
Institut de statistique 
Wilhelm, Matthieu 
Institut de statistique 
Date de parution
2018-1-10
In
Statistica Sinica
No
28
De la page
471
A la page
504
Résumé
We present a new family of sampling designs in finite population based on the use of chain processes and of multivariate discrete distributions. In Bernoulli sampling, the number of non-selected units between two selected units has a geometric distribution, while, in simple random sampling, it has a negative hypergeometric distribution. We propose to replace these distributions by more general ones, which enables us to include a tuning parameter for the joint inclusion probabilities that have a relatively simple form. An effect of repulsion or attraction can then be added in the selection of the units in such a way that a large set of new designs are defined that include Bernoulli sampling, simple random sampling and systematic sampling. A set of simulations show the interest of the method.
Identifiants
https://libra.unine.ch/handle/123456789/24238
Autre version
http://www3.stat.sinica.edu.tw/ss_newpaper/SS-2016-0064_na.pdf
Type de publication
journal article
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