The University of Southampton
University of Southampton Institutional Repository

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


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.

Full text not available from this repository.

More information

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


Local EPrints ID: 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

Export record



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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.