Ah. Dorfman et P. Hall, ESTIMATORS OF THE FINITE POPULATION-DISTRIBUTION FUNCTION USING NONPARAMETRIC REGRESSION, Annals of statistics, 21(3), 1993, pp. 1452-1475
This paper considers estimators of the distribution function of a vari
able over a finite population, when a sample of units is available and
values of a related auxiliary variable are known for the whole popula
tion. Theory is offered for several estimators which rely on nonparame
tric regression, and for calibration estimators which require a parame
tric model.