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Optimal estimation of linear functions of finite population means in rotation sampling (Q1118278)

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scientific article; zbMATH DE number 4094569
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English
Optimal estimation of linear functions of finite population means in rotation sampling
scientific article; zbMATH DE number 4094569

    Statements

    Optimal estimation of linear functions of finite population means in rotation sampling (English)
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    1989
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    Within a general class of linear design-unbiased estimators of a linear function of means from successive occasions in sampling in time, it is shown that under a general one-cycle rotation design, a weighted average of the rotation group means or elementary estimates is the optimal estimator. The determination of the weights depends upon the underlying correlation structure. The correlation structure studied here allows a correlation between different sampling units.
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    autocorrelation
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    best linear design-unbiased estimation
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    sampling on successive occasions
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    linear design-unbiased estimators of a linear function of means
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    general one-cycle rotation design
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    weighted average of the rotation group means
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    correlation structure
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    Identifiers