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End corrections in systematic sampling when a polynomial trend is present. (English) Zbl 0715.62009

Summary: Yates’ end corrections method in systematic sampling eliminates a liner trend as a component of the mean square error of the estimate of the finite population mean. This method is generalized to any polynomial trend. Variance estimation is also discussed.

MSC:

62D05 Sampling theory, sample surveys
62J02 General nonlinear regression
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