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.
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Montanari, G.E., Bartolucci, F. On estimating the variance of the systematic sample mean. J. Ital. Statist. Soc. 7, 185–196 (1998). https://doi.org/10.1007/BF03178928
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DOI: https://doi.org/10.1007/BF03178928