Variance estimation with Chao's sampling schemeBerger, Y.G. (2005) Variance estimation with Chao's sampling scheme. Journal of Statistical Planning and Inference, 127 (1-2). pp. 253-277. ISSN 0378-3758 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/j.jspi.2003.08.014 Abstract/SummaryWe 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.
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