Exact linear unbiased estimation in survey sampling

Sugden, R.A. and Smith, T.M.F. (2002) Exact linear unbiased estimation in survey sampling. Journal of Statistical Planning and Inference, 102, (1), 25-45. (doi:10.1016/S0378-3758(00)00325-6).


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The concept of the linearity of estimators in finite population inference is not well defined. We propose that linearity should be defined for both estimators and estimands and that strict linearity should be related constructively to the property of unbiasedness. We establish the conditions for the class of general linear estimators, introduced by Godambe (J. Roy. Statist. Soc. 17 (1955) 269), to be strictly linear. The ideas are extended to quadratic estimators of quadratic estimands. The implications are explored for ratio estimators, and domains of study, the latter extendible to poststratification.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0378-3758(00)00325-6
ISSNs: 0378-3758 (print)
Related URLs:
Keywords: linear estimator, strictly linear, linear estimand, quadratic estimand, unbiasedness, ratio estimator, domain
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 30036
Accepted Date and Publication Date:
1 March 2002Published
Date Deposited: 11 May 2006
Last Modified: 31 Mar 2016 11:56
URI: http://eprints.soton.ac.uk/id/eprint/30036

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