Calibration in survey sampling as an optimization problem

Calibration is a technique of adjusting sample weights routinely used in sample surveys. In this chapter, we consider calibration as an optimization problem and show that the choice of optimization function has an effect on the calibrated weights. We propose a class of functions that have several desirable properties, which includes satisfying necessary range restrictions for the weights. In this chapter, we explore the effect these new functions have on the calibrated weights