Entropy of unequal probability sampling designs
2010 (English)In: Statistical Methodology, ISSN 1572-3127, E-ISSN 1878-0954, Vol. 7, no 2, 84-97 p.Article in journal (Refereed) Published
There exist many designs for unequal probability sampling. In this paper entropy, which is a measure of randomness, is used to compare eight designs. Both old and commonly used designs and more recent designs are included. Several different and general estimates of entropy are presented. In the quest of finding entropy, expressions for the probability function are derived for different designs. One of them is a recent general design called correlated Poisson sampling. Several designs are close to having maximum entropy, which means that the designs are robust. A few designs yield low entropy and should therefore in general be avoided.
Place, publisher, year, edition, pages
Elsevier Bv. , 2010. Vol. 7, no 2, 84-97 p.
Entropy, Probability functions, Sampling designs, Unequal probability sampling
Probability Theory and Statistics
Research subject Mathematical Statistics
IdentifiersURN: urn:nbn:se:umu:diva-31085DOI: 10.1016/j.stamet.2009.10.005OAI: oai:DiVA.org:umu-31085DiVA: diva2:290870