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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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
Digital Object Identifier (DOI): doi:10.1016/j.jspi.2003.08.014
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
ePrint ID: 34121
Date Deposited: 16 May 2006
Last Modified: 06 Aug 2015 02:31

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