Variance estimation with Chao's sampling scheme
Variance estimation with Chao's sampling scheme
We show that the Hájek (Ann. Math Statist. (1964) 1491) variance estimator can be used to estimate the variance of the Horvitz–Thompson estimator when the Chao sampling scheme (Chao, Biometrika 69 (1982) 653) is implemented. This estimator is simple and can be implemented with any statistical packages. We consider a numerical and an analytic method to show that this estimator can be used. A series of simulations supports our findings.
entropy, Hájek variance estimator, inclusion probabilities, ?ps sampling scheme
253-277
Berger, Yves G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
2005
Berger, Yves G.
8fd6af5c-31e6-4130-8b53-90910bf2f43b
Berger, Yves G.
(2005)
Variance estimation with Chao's sampling scheme.
Journal of Statistical Planning and Inference, 127 (1-2), .
(doi:10.1016/j.jspi.2003.08.014).
Abstract
We show that the Hájek (Ann. Math Statist. (1964) 1491) variance estimator can be used to estimate the variance of the Horvitz–Thompson estimator when the Chao sampling scheme (Chao, Biometrika 69 (1982) 653) is implemented. This estimator is simple and can be implemented with any statistical packages. We consider a numerical and an analytic method to show that this estimator can be used. A series of simulations supports our findings.
This record has no associated files available for download.
More information
Published date: 2005
Keywords:
entropy, Hájek variance estimator, inclusion probabilities, ?ps sampling scheme
Identifiers
Local EPrints ID: 34121
URI: http://eprints.soton.ac.uk/id/eprint/34121
ISSN: 0378-3758
PURE UUID: 79801d83-7671-4331-a3df-fd83cfd680ee
Catalogue record
Date deposited: 16 May 2006
Last modified: 16 Mar 2024 03:03
Export record
Altmetrics
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
