On estimating the variance of the systematic sample mean

We propose a new estimator of the variance of the systematic sample mean, which is based on a sum of two components: the first takes into account ofthe trend in the population list, the second takes into account of the stochastic component of a general superpopulation model. Such an estimator is com...

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Bibliographic Details
Published in:Journal of the Italian Statistical Society 1998-08, Vol.7 (2), p.185-196
Main Authors: Bartolucci, Francesco, Montanari, Giorgio
Format: Article
Language:English
Subjects:
Moving averages
Overlapping differences
Superpopulation model
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Summary:We propose a new estimator of the variance of the systematic sample mean, which is based on a sum of two components: the first takes into account ofthe trend in the population list, the second takes into account of the stochastic component of a general superpopulation model. Such an estimator is compared with the simple random sampling variance estimator and the estimator based on overlapping differences, both theoretically and empirically. The comparison shows that for many superpopulation models, the proposed estimator outperforms the other two.[PUBLICATION ABSTRACT]
ISSN:1618-2510
1121-9130
1613-981X
DOI:10.1007/BF03178928