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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Description/Abstract
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 |
|---|---|
| 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 |
| Item ID: | 30036 |
| Date Deposited: | 11 May 2006 |
| Last Modified: | 02 Mar 2012 13:06 |
| Contributors: | Sugden, R.A. (Author) Smith, T.M.F. (Author) |
| Date: | 1 March 2002 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/30036 |
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