Variance estimation with Chao's sampling scheme
Berger, Yves G. (2005) Variance estimation with Chao's sampling scheme. Journal of Statistical Planning and Inference, 127, (1-2), 253-277. (doi:10.1016/j.jspi.2003.08.014).
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Original Publication URL: http://dx.doi.org/10.1016/j.jspi.2003.08.014
Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 0378-3758 (print) |
| Related URLs: | |
| Keywords: | entropy, Hájek variance estimator, inclusion probabilities, πps sampling scheme |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | University Structure - Pre August 2011 > School of Social Sciences > Social Statistics |
| Item ID: | 34121 |
| Date Deposited: | 16 May 2006 |
| Last Modified: | 01 Jun 2011 06:39 |
| Contributors: | Berger, Yves G. (Author) |
| Date: | 2005 |
| Status: | Published |
| Contact Email Address: | ygb@socsci.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/34121 |
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