On finite population sampling theory under certain linear regression models

@inproceedings{Royall1970OnFP,
  title={On finite population sampling theory under certain linear regression models},
  author={Richard M. Royall},
  year={1970}
}
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… CONTINUE READING

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