Towards optimal regression estimation in sample surveys
Berger, Yves G., Tirari, Mohammed E.H. and Tille, Yves (2003) Towards optimal regression estimation in sample surveys. Australian & New Zealand Journal of Statistics, 45, (3), 319-329. (doi:10.1111/1467-842X.00286).
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Description/Abstract
The Montanari (1987) regression estimator is optimal when the population regression coefficients are known. When the coefficients are estimated, the Montanari estimator is not optimal and can be extremely volatile. Using design-based arguments, this paper proposes a simpler and better alternative to the Montanari estimator that is also optimal when the population regression coefficients are known. Moreover, it can be easily implemented as it involves standard weighted least squares. The estimator is applicable under single stage stratified sampling with unequal probabilities within each stratum.
| Item Type: | Article |
|---|---|
| ISSNs: | 1369-1473 (print) |
| Related URLs: | |
| Keywords: | design-based inference, generalized regression estimator, inclusion probabilities, montanari estimator, conditional poisson sampling |
| Subjects: | H Social Sciences > HA Statistics |
| Divisions: | University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute |
| Item ID: | 34117 |
| Date Deposited: | 16 May 2006 |
| Last Modified: | 01 Jun 2011 09:01 |
| Contributors: | Berger, Yves G. (Author) Tirari, Mohammed E.H. (Author) Tille, Yves (Author) |
| Date: | 2003 |
| Status: | Published |
| Contact Email Address: | Y.G.Berger@soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/34117 |
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