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- W4242174368 abstract "This chapter considers the simple problem of using an auxiliary variable. It examines three basic estimators using auxiliary information: the difference estimator, the ratio estimator, and the regression estimator. The difference estimator is a simple way to introduce auxiliary information into an estimator. The regression estimator generalizes both the difference estimator and the ratio estimator. If the slope of the regression line is zero, then the regression estimator may have a larger variance than the expansion estimator. The regression estimation can be generalized to the use of several auxiliary variables. Montanari proposed an alternative approach for estimating the regression coefficient of the regression estimator. The choice of an estimation method depends on the relationship between the variables. Since these estimators are asymptotically unbiased, the estimator are selected with the smallest variance or approximate variance." @default.
- W4242174368 created "2022-05-12" @default.
- W4242174368 date "2020-02-21" @default.
- W4242174368 modified "2023-09-26" @default.
- W4242174368 title "Estimation with a Quantitative Auxiliary Variable" @default.
- W4242174368 doi "https://doi.org/10.1002/9781119071259.ch9" @default.
- W4242174368 hasPublicationYear "2020" @default.
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