Best linear unbiased estimators for the simple linear regression model using ranked set sampling

When sample observations are expensive or difficult to obtain, ranked set sampling is known to be an efficient method for estimating the population mean, and in particular to improve on the sample mean estimator. Using best linear unbiased estimators, this paper considers the simple linear regressio...

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Bibliographic Details
Published in:Environmental and ecological statistics Vol. 6; no. 2; pp. 119 - 133
Main Authors: Barreto, Maria Cecilia Mendes, Barnett, Vic
Format: Journal Article
Language:English
Published: Dordrecht Springer Nature B.V 01.06.1999
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ISSN:1352-8505, 1573-3009
Online Access:Get full text
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Summary:When sample observations are expensive or difficult to obtain, ranked set sampling is known to be an efficient method for estimating the population mean, and in particular to improve on the sample mean estimator. Using best linear unbiased estimators, this paper considers the simple linear regression model with replicated observations. Use of a form of ranked set sampling is shown to be markedly more efficient for normal data when compared with the traditional simple linear regression estimators.[PUBLICATION ABSTRACT]
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ISSN:1352-8505
1573-3009
DOI:10.1023/A:1009609902784