Estimators of the Finite Population Distribution Function using Nonparametric Regression
Alan H. Dorfman, Peter M. Hall · The Annals of Statistics · 1993
This paper considers estimators of the distribution function of a variable over a finite population, when a sample of units is available and values of a related auxiliary variable are known for the whole population. Theory is offered for several estimators which rely on nonparametric regression, and for calibration estimators which require a parametric model.