A comparison of conditional Poisson sampling versus unequal probability sampling with replacement
Date issued
April 5, 2008
In
Journal of Statistical Planning and Inference
Vol
5
No
138
From page
1428
To page
1432
Reviewed by peer
1
Subjects
Conditional Poisson sampling Efficiency Gabler's conditions Survey sampling
Abstract
The variance of the Horvitz–Thompson estimator for a fixed size ConditionalPoissonsampling scheme without replacement and with unequal inclusion probabilities is compared to the variance of the Hansen–Hurwitz estimator for asampling scheme with replacement. We show, using a theorem by Gabler, that the sampling design without replacement is more efficient than the sampling design with replacement.
Publication type
journal article