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- W2059120516 abstract "SUMMARY Problems of estimating totals in finite populations, when auxiliary information regarding variate values is available, are considered under some linear regression, 'super-population', models. Optimal strategies involving linear estimators are derived under certain variance assumptions and compared under various assumptions. For a model which seems to apply in many practical problems, the conventional ratio estimator is shown to be, in a certain natural sense, optimal, but for all models considered, the optimal sampling plans are purposive, i.e. nonrandom. With a squared error loss function, the strategy of using a probability proportional to size sampling plan and the Horvitz-Thompson estimator is shown to be inadmissible in many models for which the strategy seems 'reasonable' and in a particular model for which it is, in one sense, optimal. Some of the results concerning purposive sampling and the ratio estimator are supported by an empirical study." @default.
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- W2059120516 date "1970-01-01" @default.
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- W2059120516 title "On finite population sampling theory under certain linear regression models" @default.
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- W2059120516 doi "https://doi.org/10.1093/biomet/57.2.377" @default.
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