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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), pp. 253-277. (doi:10.1016/j.jspi.2003.08.014).

Record type: Article


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.

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Published date: 2005
Keywords: entropy, Hájek variance estimator, inclusion probabilities, ?ps sampling scheme


Local EPrints ID: 34121
ISSN: 0378-3758
PURE UUID: 79801d83-7671-4331-a3df-fd83cfd680ee

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Date deposited: 16 May 2006
Last modified: 17 Jul 2017 15:51

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