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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), pp. 25-45. (doi:10.1016/S0378-3758(00)00325-6).

Record type: Article

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.

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More information

Published date: 1 March 2002
Keywords: linear estimator, strictly linear, linear estimand, quadratic estimand, unbiasedness, ratio estimator, domain
Organisations: Statistics

Identifiers

Local EPrints ID: 30036
URI: http://eprints.soton.ac.uk/id/eprint/30036
ISSN: 0378-3758
PURE UUID: bab944e5-6ab3-4828-82bb-2c3cc329f8fe

Catalogue record

Date deposited: 11 May 2006
Last modified: 17 Jul 2017 15:55

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Contributors

Author: R.A. Sugden
Author: T.M.F. Smith

University divisions

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