Cosmetic calibration with unequal probability sampling

Brewer proposes a method of weight calibration in survey sampling, called cosmetic calibration, which yields cosmetic estimators of totals, i.e. estimators that can be interpreted as both design-based and prediction based. He also discusses variance estimation and shows how the problem of negative weights can be easily and naturally handled using cosmetic calibration. Finally he compares the properties of the weights and the resulting estimators to some alternative approaches using some Australian far data.